| Base | Representation |
|---|---|
| bin | 1110101010011100000 |
| 3 | 220102002120 |
| 4 | 1311103200 |
| 5 | 110333410 |
| 6 | 14144240 |
| 7 | 4040550 |
| oct | 1652340 |
| 9 | 812076 |
| 10 | 480480 |
| 11 | 2a8aa0 |
| 12 | 1b2080 |
| 13 | 13a910 |
| 14 | c7160 |
| 15 | 97570 |
| hex | 754e0 |
480480 has 192 divisors, whose sum is σ = 2032128. Its totient is φ = 92160.
The previous prime is 480463. The next prime is 480499. The reversal of 480480 is 84084.
It is a super-2 number, since 2×4804802 = 461722060800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an Ulam number.
It is a self number, because there is not a number n which added to its sum of digits gives 480480.
It is a congruent number.
It is an unprimeable number.
480480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36954 + ... + 36966.
It is an arithmetic number, because the mean of its divisors is an integer number (10584).
2480480 is an apocalyptic number.
480480 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 480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064).
480480 is an abundant number, since it is smaller than the sum of its proper divisors (1551648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480480 is a wasteful number, since it uses less digits than its factorization.
480480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 49 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 24.
The square root of 480480 is about 693.1666466298. The cubic root of 480480 is about 78.3234432461.
It can be divided in two parts, 4804 and 80, that added together give a palindrome (4884).
The spelling of 480480 in words is "four hundred eighty thousand, four hundred eighty".
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