Live analysis

476,400

476,400 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

476,400 (four hundred seventy-six thousand four hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 5² × 397. Its proper divisors sum to 1,053,512, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x744F0.

Abundant Number Gapful Number Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

476,388 476,389 476,390 476,391 476,392 476,393 476,394 476,395 476,396 476,397 476,398 476,399 476,400 476,401 476,402 476,403 476,404 476,405 476,406 476,407 476,408 476,409 476,410 476,411 476,412

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 4,674
Square (n²): 226,956,960,000
Cube (n³): 108,122,295,744,000,000
Divisor count: 60
σ(n) — sum of divisors: 1,529,912
φ(n) — Euler's totient: 126,720
Sum of prime factors: 418

Primality

Prime factorization: 2 ⁴ × 3 × 5 ² × 397

Nearest primes: 476,381 (−19) · 476,401 (+1)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 40 · 48 · 50 · 60 · 75 · 80 · 100 · 120 · 150 · 200 · 240 · 300 · 397 · 400 · 600 · 794 · 1191 · 1200 · 1588 · 1985 · 2382 · 3176 · 3970 · 4764 · 5955 · 6352 · 7940 · 9528 · 9925 · 11910 · 15880 · 19056 · 19850 · 23820 · 29775 · 31760 · 39700 · 47640 · 59550 · 79400 · 95280 · 119100 · 158800 · 238200 (half) · 476400

Aliquot sum (sum of proper divisors): 1,053,512

Factor pairs (a × b = 476,400)

1 × 476400

2 × 238200

3 × 158800

4 × 119100

5 × 95280

6 × 79400

8 × 59550

10 × 47640

12 × 39700

15 × 31760

16 × 29775

20 × 23820

24 × 19850

25 × 19056

30 × 15880

40 × 11910

48 × 9925

50 × 9528

60 × 7940

75 × 6352

80 × 5955

100 × 4764

120 × 3970

150 × 3176

200 × 2382

240 × 1985

300 × 1588

397 × 1200

400 × 1191

600 × 794

First multiples

476,400 · 952,800 (double) · 1,429,200 · 1,905,600 · 2,382,000 · 2,858,400 · 3,334,800 · 3,811,200 · 4,287,600 · 4,764,000

Sums & aliquot sequence

As consecutive integers: 158,799 + 158,800 + 158,801 95,278 + 95,279 + 95,280 + 95,281 + 95,282 31,753 + 31,754 + … + 31,767 19,044 + 19,045 + … + 19,068

Aliquot sequence: 476,400 → 1,053,512 → 1,106,488 → 968,192 → 1,061,440 → 1,572,032 → 2,481,808 → 3,013,872 → 4,987,104 → 8,104,296 → 12,630,264 → 19,033,176 → 29,658,984 → 44,488,536 → 70,241,064 → 106,148,856 → 191,199,624 — unresolved within range

Continued fraction of √n

√476,400 = [690; (4, 1, 1, 1, 1, 54, 1, 1, 1, 1, 4, 1380)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-six thousand four hundred
Ordinal: 476400th
Binary: 1110100010011110000
Octal: 1642360
Hexadecimal: 0x744F0
Base64: B0Tw
One's complement: 4,294,490,895 (32-bit)
Scientific notation: 4.764 × 10⁵
As a duration: 476,400 s = 5 days, 12 hours, 20 minutes

In other bases

ternary (3) 220012111110

quaternary (4) 1310103300

quinary (5) 110221100

senary (6) 14113320

septenary (7) 4022631

nonary (9) 805443

undecimal (11) 2a5a21

duodecimal (12) 1ab840

tridecimal (13) 138ac2

tetradecimal (14) c5888

pentadecimal (15) 96250

As an angle

476,400° = 1,323 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵υοϛυʹ
Chinese: 四十七萬六千四百
Chinese (financial): 肆拾柒萬陸仟肆佰

In other modern scripts

Eastern Arabic ٤٧٦٤٠٠ Devanagari ४७६४०० Bengali ৪৭৬৪০০ Tamil ௪௭௬௪௦௦ Thai ๔๗๖๔๐๐ Tibetan ༤༧༦༤༠༠ Khmer ៤៧៦៤០០ Lao ໔໗໖໔໐໐ Burmese ၄၇၆၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 476400, here are decompositions:

19 + 476381 = 476400
31 + 476369 = 476400
37 + 476363 = 476400
53 + 476347 = 476400
83 + 476317 = 476400
101 + 476299 = 476400
151 + 476249 = 476400
157 + 476243 = 476400

Showing the first eight; more decompositions exist.

Hex color

#0744F0

RGB(7, 68, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.68.240.

Address: 0.7.68.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.68.240

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 476,400 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US476,400 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 476400 first appears in π at position 214,778 of the decimal expansion (the 214,778ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 476400 on Pi Search ↗