| Base | Representation |
|---|---|
| bin | 11100101010100… |
| … | …101001010000000 |
| 3 | 1020111221111002200 |
| 4 | 130222211022000 |
| 5 | 1441104034123 |
| 6 | 115415513200 |
| 7 | 14626534425 |
| oct | 3452451200 |
| 9 | 1214844080 |
| 10 | 480924288 |
| 11 | 227518599 |
| 12 | 115088800 |
| 13 | 788365b0 |
| 14 | 47c2bd4c |
| 15 | 2c34b143 |
| hex | 1caa5280 |
480924288 has 192 divisors, whose sum is σ = 1578868200. Its totient is φ = 139198464.
The previous prime is 480924287. The next prime is 480924299. The reversal of 480924288 is 882429084.
It is a happy number.
480924288 is a `hidden beast` number, since 480 + 92 + 4 + 2 + 88 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 390141504 + 90782784 = 19752^2 + 9528^2 .
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-3 number, since 3×4809242883 (a number of 27 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (480924287) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253648 + ... + 255536.
Almost surely, 2480924288 is an apocalyptic number.
480924288 is a gapful number since it is divisible by the number (48) 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 480924288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789434100).
480924288 is an abundant number, since it is smaller than the sum of its proper divisors (1097943912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480924288 is a wasteful number, since it uses less digits than its factorization.
480924288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1939 (or 1924 counting only the distinct ones).
The product of its (nonzero) digits is 294912, while the sum is 45.
The square root of 480924288 is about 21929.9860465072. The cubic root of 480924288 is about 783.4757706076.
The spelling of 480924288 in words is "four hundred eighty million, nine hundred twenty-four thousand, two hundred eighty-eight".
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