Live analysis

470,480

470,480 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.).

470,480 (four hundred seventy thousand four hundred eighty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 5,881. Its proper divisors sum to 623,572, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72DD0.

Abundant Number Evil Number Gapful Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

470,468 470,469 470,470 470,471 470,472 470,473 470,474 470,475 470,476 470,477 470,478 470,479 470,480 470,481 470,482 470,483 470,484 470,485 470,486 470,487 470,488 470,489 470,490 470,491 470,492

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 19 bits
Reversed: 84,074
Square (n²): 221,351,430,400
Cube (n³): 104,141,420,974,592,000
Divisor count: 20
σ(n) — sum of divisors: 1,094,052
φ(n) — Euler's totient: 188,160
Sum of prime factors: 5,894

Primality

Prime factorization: 2 ⁴ × 5 × 5881

Nearest primes: 470,473 (−7) · 470,489 (+9)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 5881 · 11762 · 23524 · 29405 · 47048 · 58810 · 94096 · 117620 · 235240 (half) · 470480

Aliquot sum (sum of proper divisors): 623,572

Factor pairs (a × b = 470,480)

1 × 470480

2 × 235240

4 × 117620

5 × 94096

8 × 58810

10 × 47048

16 × 29405

20 × 23524

40 × 11762

80 × 5881

First multiples

470,480 · 940,960 (double) · 1,411,440 · 1,881,920 · 2,352,400 · 2,822,880 · 3,293,360 · 3,763,840 · 4,234,320 · 4,704,800

Sums & aliquot sequence

As a sum of two squares: 172² + 664² = 428² + 536²

As consecutive integers: 94,094 + 94,095 + 94,096 + 94,097 + 94,098 14,687 + 14,688 + … + 14,718 2,861 + 2,862 + … + 3,020

Aliquot sequence: 470,480 → 623,572 → 467,686 → 236,834 → 145,786 → 72,896 → 82,552 → 81,608 → 72,937 → 1 → 0 — terminates at zero

Continued fraction of √n

√470,480 = [685; (1, 10, 1, 4, 1, 3, 2, 5, 5, 1, 1, 3, 1, 20, 1, 1, 1, 8, 1, 3, 1, 67, 1, 3, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy thousand four hundred eighty
Ordinal: 470480th
Binary: 1110010110111010000
Octal: 1626720
Hexadecimal: 0x72DD0
Base64: By3Q
One's complement: 4,294,496,815 (32-bit)
Scientific notation: 4.7048 × 10⁵
As a duration: 470,480 s = 5 days, 10 hours, 41 minutes, 20 seconds

In other bases

ternary (3) 212220101012

quaternary (4) 1302313100

quinary (5) 110023410

senary (6) 14030052

septenary (7) 3666443

nonary (9) 786335

undecimal (11) 2a152a

duodecimal (12) 1a8328

tridecimal (13) 1361ba

tetradecimal (14) c365a

pentadecimal (15) 94605

As an angle

470,480° = 1,306 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υουπʹ
Chinese: 四十七萬零四百八十
Chinese (financial): 肆拾柒萬零肆佰捌拾

In other modern scripts

Eastern Arabic ٤٧٠٤٨٠ Devanagari ४७०४८० Bengali ৪৭০৪৮০ Tamil ௪௭௦௪௮௦ Thai ๔๗๐๔๘๐ Tibetan ༤༧༠༤༨༠ Khmer ៤៧០៤៨០ Lao ໔໗໐໔໘໐ Burmese ၄၇၀၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470480, here are decompositions:

7 + 470473 = 470480
19 + 470461 = 470480
37 + 470443 = 470480
67 + 470413 = 470480
163 + 470317 = 470480
181 + 470299 = 470480
229 + 470251 = 470480
271 + 470209 = 470480

Showing the first eight; more decompositions exist.

Hex color

#072DD0

RGB(7, 45, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.208.

Address: 0.7.45.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.45.208

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 470,480 and was likely granted around 1891.

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

Look up US470,480 on Google Patents ↗ Look up on USPTO ↗