477,480
477,480 is a composite number, even.
477,480 (four hundred seventy-seven thousand four hundred eighty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 23 × 173. Its proper divisors sum to 1,025,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74928.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 84,774
- Square (n²)
- 227,987,150,400
- Cube (n³)
- 108,859,304,572,992,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,503,360
- φ(n) — Euler's totient
- 121,088
- Sum of prime factors
- 210
Primality
Prime factorization: 2 3 × 3 × 5 × 23 × 173
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√477,480 = [690; (1, 1380)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-seven thousand four hundred eighty
- Ordinal
- 477480th
- Binary
- 1110100100100101000
- Octal
- 1644450
- Hexadecimal
- 0x74928
- Base64
- B0ko
- One's complement
- 4,294,489,815 (32-bit)
- Scientific notation
- 4.7748 × 10⁵
- As a duration
- 477,480 s = 5 days, 12 hours, 38 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοζυπʹ
- Chinese
- 四十七萬七千四百八十
- Chinese (financial)
- 肆拾柒萬柒仟肆佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 477480, here are decompositions:
- 11 + 477469 = 477480
- 19 + 477461 = 477480
- 41 + 477439 = 477480
- 71 + 477409 = 477480
- 97 + 477383 = 477480
- 139 + 477341 = 477480
- 151 + 477329 = 477480
- 163 + 477317 = 477480
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.73.40.
- Address
- 0.7.73.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.73.40
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 477,480 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.