453 (number)

407

407 = 11 × 37,

• sum of cubes of 4, 0 and 7 (4³ + 0³ + 7³ = 407); narcissistic number
• sum of three consecutive primes (131 + 137 + 139)
• Mertens function returns 0
• Harshad number
• HTTP status code for "Proxy Authentication Required"
• Area code for Orlando, Florida

408

408 = 2³ × 3 × 17

• Sum of four consecutive primes (97 + 101 + 103 + 107)
• Sum of eight consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67)
• Pell number
• Mertens function returns 0
• Octagonal number
• Untouchable number
• Harshad number
• HTTP status code for "Request Timeout"
• Area code for the Silicon Valley

409

409 is a prime number, Chen prime, centered triangular number.

• A family of cleaning products, Formula 409
• An engine known as the Chevrolet 409, a 409 cubic inch W-series V8.
• The song 409 by The Beach Boys, which was inspired by the above engine.
• HTTP status code for "Conflict"
• Green Day have made a song, 409 in Your Coffeemaker, included on their album 1,039/Smoothed Out Slappy Hours.
• The area code for a part of eastern Texas.
• Bullet For My Valentine has released a song, "Room 409", from the album The Poison

410s

410

410 = 2 × 5 × 41, sphenic number, sum of six consecutive primes (59 + 61 + 67 + 71 + 73 + 79), nontotient, Harshad number

• HTTP status code for "Gone".
• Area Code 410, a telephone area code for the US State of Maryland, representing portions of the state including the Baltimore metropolitan area and the Eastern Shore.

411

411 = 3 × 137, self number,

• HTTP status code for "Length Required", slang for information (see 4-1-1)

412

412 = 2² × 103, nontotient, noncototient, sum of twelve consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59)

• HTTP status code for "Precondition Failed"
• Area code for Pittsburgh, Pennsylvania.
• Fictitious Police Code for "Overacting" from "Stan Freeberg

413

413 = 7 × 59, Mertens function returns 0, self number

• HTTP status code for "Request Entity Too Large", area code for Western Massachusetts.

414

414 = 2 × 3² × 23, Mertens function returns 0, nontotient, Harshad number

• HTTP status code for "Request-URI Too Long", Area code for Milwaukee, Wisconsin.
• The 414s, a group of hackers from Milwaukee, Wisconsin.

415

415 = 5 × 83,

• HTTP status code for "Unsupported Media Type"
• 415 Records, a record label
• 415 refers to California Penal Code, section 415, pertaining to public fighting, public disturbance, and public use of offensive words likely to provoke an immediate violent reaction.
• Area code 415, a telephone area code for San Francisco, California
• 415 (group), a rap group from Oakland, California

416

416 = 2⁵ × 13

• HTTP status code for "Requested Range Not Satisfiable"
• 416 is also a nickname for the city of Toronto, based on the area code it used before overlay plans added two more area codes.

417

417 = 3 × 139

• HTTP status code for "Expectation Failed". Also the area code for southwestern Missouri, including Springfield, and Joplin.

418

418 = 2 × 11 × 19, sphenic number,

• the number of Abrahadabra, Hyper Text Coffee Pot Control Protocol status code for "Teapot" as an April Fools' joke.

419

A prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, highly cototient number, Mertens function returns 0

• refers to the Nigerian advance fee fraud scheme (after the section of the Nigerian Criminal Code it violates)

420s

420

421

A prime number, sum of five consecutive primes (73 + 79 + 83 + 89 + 97), centered square number, also SMTP code meaning the transmission channel will be closing

422

422 = 2 × 211, Mertens function returns 0, nontotient

423

423 = 3² × 47, Mertens function returns 0, Harshad number

424

424 = 2³ × 53, sum of ten consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Mertens function returns 0, refactorable number, self number

425

425 = 5² × 17, pentagonal number, sum of three consecutive primes (137 + 139 + 149), Mertens function returns 0

426

426 = 2 × 3 × 71, sphenic number, nontotient, untouchable number

427

427 = 7 × 61, Mertens function returns 0

428

428 = 2² × 107, Mertens function returns 0, nontotient

• 428: Fūsa Sareta Shibuya de, a video game

429

429 = 3 × 11 × 13, sphenic number, Catalan number

430s

430

430 = 2 × 5 × 43, sphenic number, untouchable number

431

A prime number, Sophie Germain prime, sum of seven consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73), Chen prime, Eisenstein prime with no imaginary part

• The distance between Earth and the star Polaris in light years

432

432 = 2⁴ x 3³ = 4² x 3³, The sum of four consecutive primes (103 + 107 + 109 + 113), a highly totient number, sum of totient function for first 37 integers. 432! is the first factorial that is not a Harshad number in base 10. 432 is also three-dozen sets of a dozen, making it three gross.

433

A prime number, Markov number, star number.

• The perfect score in the game show Fifteen To One, only ever achieved once in over 2000 shows.

434

434 = 2 × 7 × 31, sphenic number, sum of six consecutive primes (61 + 67 + 71 + 73 + 79 + 83), nontotient

435

435 = 3 × 5 × 29, sphenic number, triangular number, hexagonal number, self number

436

436 = 2² × 109, nontotient, noncototient

437

437 = 19 × 23

438

438 = 2 × 3 × 73, sphenic number, Smith number.

• The "438 match" or "438 game" has been used by cricket media to describe the famous 2006 One Day International in which Australia scored a world record 434 in their innings, only to see South Africa respond in their innings with 438.

439

A prime number, sum of three consecutive primes (139 + 149 + 151), sum of nine consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), strictly non-palindromic number

440s

440

440 = 2³ × 5 × 11, the sum of the first seventeen prime numbers, Harshad number,

• in hertz, the standard frequency to which most orchestras tune the pitch A above middle C. A few orchestras tune slightly flatter or sharper than this.

441

441 = 3² × 7² = 21²

• 441 is the sum of the cubes of the first 6 natural numbers (441 = 1³ + 2³ + 3³ + 4³ + 5³ + 6³).
• 441 is a centered octagonal number, a refactorable number, and a Harshad number.
• 441 is the number of squares on a Super Scrabble board.

442

442 = 2 × 13 × 17, sphenic number, sum of eight consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71)

443

A prime number, Sophie Germain prime, Chen prime,+ Eisenstein prime with no imaginary part, Mertens function sets new low of -9, which stands until 659

444

444 = 2² × 3 × 37, refactorable number, Harshad number

445

445 = 5 × 89

446

446 = 2 × 223, nontotient, self number

447

447 = 3 × 149

448

448 = 2⁶ × 7, untouchable number, refactorable number, Harshad number

449

A prime number, sum of five consecutive primes (79 + 83 + 89 + 97 + 101), Chen prime, Eisenstein prime with no imaginary part, Proth prime. Also the largest number whose factorial is less than 10¹⁰⁰⁰

450s

450

450 = 2 × 3² × 5², nontotient, sum of totient function for first 38 integers, refactorable number, Harshad number,

• SMTP code meaning the requested mail action was not carried out, a perfect score in Canadian five-pin bowling and an area code in Southern Quebec.

451

451 = 11 × 41; 451 is a Wedderburn–Etherington number and a centered decagonal number; its reciprocal has period 10; 451 is the smallest number with this period reciprocal length.

• The novel Fahrenheit 451 refers to the temperature that author Ray Bradbury understood to be the autoignition point of paper.

452

452 = 2² × 113

• SMTP code meaning that the requested mail action was not carried out because of insufficient system storage

453

453 = 3 × 151

454

454 = 2 × 227, nontotient, a Smith number

455

455 = 5 × 7 × 13, sphenic number, tetrahedral number

• 455 Rocket is the title of a song by Kathy Mattea
• 455 kHz is a standard intermediate frequency for analog superheterodyne AM broadcast band receivers.

456

456 = 2³ × 3 × 19, sum of a twin prime (227 + 229), sum of four consecutive primes (107 + 109 + 113 + 127), centered pentagonal number

457

A prime number, sum of three consecutive primes (149 + 151 + 157), self number

458

458 = 2 × 229, nontotient

459

459 = 3³ × 17

460s

460

460 = 2² × 5 × 23, centered triangular number, Harshad number, sum of twelve consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61)

461

A prime number, Chen prime, sexy prime with 467, Eisenstein prime with no imaginary part

462

462 = 2 × 3 × 7 × 11, binomial coefficient $\backslash tbinom\; \{11\}5$, sum of six consecutive primes (67 + 71 + 73 + 79 + 83 + 89), pronic number, sparsely totient number

463

A prime number, sum of seven consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79), centered heptagonal number,

• Number of days in the synodic period of Ceres
• A common baseball double play (see baseball positions)
• A single by Buck 65, named after the baseball term

464

464 = 2⁴ × 29, primitive abundant number

• In chess it is the number of legal positions of the kings, not counting mirrored positions. Has some importance when constructing an endgame tablebase.
• See also: 4-6-4, the year AD 464.

465

465 = 3 × 5 × 31, sphenic number, triangular number, member of the Padovan sequence, Harshad number

466

466 = 2 × 233, noncototient

467

A prime number, safe prime, sexy prime with 461, Chen prime, Eisenstein prime with no imaginary part

468

468 = 2² × 3² × 13, sum of ten consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), refactorable number, self number, Harshad number

469

469 = 7 × 67, centered hexagonal number

470s

470

470 = 2 × 5 × 47, sphenic number, nontotient, noncototient

• In golf, 470 is the minimum length in yards from the tee to the hole on a Par 5.
• 470 is an Olympic class of sailing dinghy

471

471 = 3 × 157, sum of three consecutive primes (151 + 157 + 163), perfect totient number

472

472 = 2³ × 59, nontotient, untouchable number, refactorable number

473

473 = 11 × 43, sum of five consecutive primes (83 + 89 + 97 + 101 + 103)

474

474 = 2 × 3 × 79, sphenic number, sum of eight consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73), nontotient, noncototient, sum of totient function for first 39 integers, untouchable number, nonagonal number

475

475 = 5² × 19, 49-gonal number, member of the Mian–Chowla sequence.

476

476 = 2² × 7 × 17, Harshad number

477

477 = 3² × 53, pentagonal number

478

478 = 2 × 239

479

A prime number, safe prime, sum of nine consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71), Chen prime, Eisenstein prime with no imaginary part, self number

• Also an area code in the U.S. state of Arkansas.

480s

480

480 = 2⁵ × 3 × 5, sum of a twin prime (239 + 241), sum of four consecutive primes (109 + 113 + 127 + 131), highly totient number, refactorable number, Harshad number

481

481 = 13 × 37, octagonal number, centered square number, Harshad number

482

482 = 2 × 241, nontotient, noncototient

483

483 = 3 × 7 × 23, sphenic number, Smith number

484

484 = 2² × 11² = 22², nontotient

485

485 = 5 × 97

486

486 = 2 × 3⁵, Harshad number, Perrin number

• shorthand for the Intel 80486 microprocessor chip

487

A prime number, sum of three consecutive primes (157 + 163 + 167), Chen prime,

• The only primes under 200,000,000 that divide their own decimal periods are 3, 487, and 56598313.
• Shorthand for the Intel 80487 floating point processor chip.

488

488 = 2³ × 61, nontotient, refactorable number

489

489 = 3 × 163, octahedral number

490s

490

490 = 2 × 5 × 7², noncototient, sum of totient function for first 40 integers, partition number (integer partitions of 19), self number.

• In [2].

491

A prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, strictly non-palindromic number

492

492 = 2² × 3 × 41, sum of six consecutive primes (71 + 73 + 79 + 83 + 89 + 97), refactorable number, member of a Ruth–Aaron pair with 493 under first definition

493

493 = 17 × 29, sum of seven consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83), member of a Ruth–Aaron pair with 493 under first definition

494

494 = 2 × 13 × 19, sphenic number, nontotient

495

496

497

497 = 7 × 71, sum of five consecutive primes (89 + 97 + 101 + 103 + 107)

498

498 = 2 × 3 × 83, sphenic number, untouchable number, admirable number, abundant number

499

A prime number, Chen prime

References

Template:Integers