| Base | Representation |
|---|---|
| bin | 11100101001011… |
| … | …100111100000000 |
| 3 | 1020111101110022211 |
| 4 | 130221130330000 |
| 5 | 1441020102410 |
| 6 | 115405311504 |
| 7 | 14624163133 |
| oct | 3451347400 |
| 9 | 1214343284 |
| 10 | 480628480 |
| 11 | 227336322 |
| 12 | 114b65594 |
| 13 | 78761a67 |
| 14 | 47b9221a |
| 15 | 2c2dd68a |
| hex | 1ca5cf00 |
480628480 has 72 divisors (see below), whose sum is σ = 1164466800. Its totient is φ = 190046208.
The previous prime is 480628457. The next prime is 480628507. The reversal of 480628480 is 84826084.
It is a super-3 number, since 3×4806284803 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111811 + ... + 116029.
It is an arithmetic number, because the mean of its divisors is an integer number (16173150).
Almost surely, 2480628480 is an apocalyptic number.
480628480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 480628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582233400).
480628480 is an abundant number, since it is smaller than the sum of its proper divisors (683838320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480628480 is an equidigital number, since it uses as much as digits as its factorization.
480628480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4329 (or 4315 counting only the distinct ones).
The product of its (nonzero) digits is 98304, while the sum is 40.
The square root of 480628480 is about 21923.2406363658. The cubic root of 480628480 is about 783.3151036450.
The spelling of 480628480 in words is "four hundred eighty million, six hundred twenty-eight thousand, four hundred eighty".
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