480,480
480,480 is a composite number, even.
480,480 (four hundred eighty thousand four hundred eighty) is an even 6-digit number. It is a composite number with 192 divisors, and factors as 2⁵ × 3 × 5 × 7 × 11 × 13. Its proper divisors sum to 1,551,648, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x754E0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 84,084
- Square (n²)
- 230,861,030,400
- Cube (n³)
- 110,924,107,886,592,000
- Divisor count
- 192
- σ(n) — sum of divisors
- 2,032,128
- φ(n) — Euler's totient
- 92,160
- Sum of prime factors
- 49
Primality
Prime factorization: 2 5 × 3 × 5 × 7 × 11 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√480,480 = [693; (6, 1386)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty thousand four hundred eighty
- Ordinal
- 480480th
- Binary
- 1110101010011100000
- Octal
- 1652340
- Hexadecimal
- 0x754E0
- Base64
- B1Tg
- One's complement
- 4,294,486,815 (32-bit)
- Scientific notation
- 4.8048 × 10⁵
- As a duration
- 480,480 s = 5 days, 13 hours, 28 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υπυπʹ
- Chinese
- 四十八萬零四百八十
- Chinese (financial)
- 肆拾捌萬零肆佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 480480, here are decompositions:
- 17 + 480463 = 480480
- 19 + 480461 = 480480
- 29 + 480451 = 480480
- 31 + 480449 = 480480
- 53 + 480427 = 480480
- 61 + 480419 = 480480
- 71 + 480409 = 480480
- 89 + 480391 = 480480
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.84.224.
- Address
- 0.7.84.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.84.224
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 480,480 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°.