256392864 has 240 divisors, whose sum is σ = 928908288. Its totient is φ = 67557888.

The previous prime is 256392823. The next prime is 256392881. The reversal of 256392864 is 468293652.

256392864 is a `hidden beast` number, since 2 + 5 + 639 + 2 + 8 + 6 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 235329 + ... + 236415.

Almost surely, 2^256392864 is an apocalyptic number.

256392864 is a gapful number since it is divisible by the number (24) 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 256392864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464454144).

256392864 is an abundant number, since it is smaller than the sum of its proper divisors (672515424).

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

256392864 is a wasteful number, since it uses less digits than its factorization.

256392864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1112 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 256392864 is about 16012.2722934629. The cubic root of 256392864 is about 635.2850634875.

The spelling of 256392864 in words is "two hundred fifty-six million, three hundred ninety-two thousand, eight hundred sixty-four".