482688864 has 72 divisors (see below), whose sum is σ = 1568745360. Its totient is φ = 137910528.

The previous prime is 482688851. The next prime is 482688883. The reversal of 482688864 is 468886284.

482688864 is a `hidden beast` number, since 482 + 6 + 88 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×482688864² = 465977078859220992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 482688864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117699 + ... + 121730.

It is an arithmetic number, because the mean of its divisors is an integer number (21788130).

Almost surely, 2^482688864 is an apocalyptic number.

It is an amenable number.

482688864 is an abundant number, since it is smaller than the sum of its proper divisors (1086056496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

482688864 is a wasteful number, since it uses less digits than its factorization.

482688864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239452 (or 239441 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 482688864 is about 21970.1812464076. The cubic root of 482688864 is about 784.4328270864.

The spelling of 482688864 in words is "four hundred eighty-two million, six hundred eighty-eight thousand, eight hundred sixty-four".