256803264 has 112 divisors (see below), whose sum is σ = 758891040. Its totient is φ = 85155840.

The previous prime is 256803227. The next prime is 256803293. The reversal of 256803264 is 462308652.

256803264 is a `hidden beast` number, since 2 + 568 + 0 + 32 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609774 + ... + 610194.

Almost surely, 2^256803264 is an apocalyptic number.

256803264 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 256803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379445520).

256803264 is an abundant number, since it is smaller than the sum of its proper divisors (502087776).

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

256803264 is a wasteful number, since it uses less digits than its factorization.

256803264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 256803264 is about 16025.0823398821. The cubic root of 256803264 is about 635.6238430727.

The spelling of 256803264 in words is "two hundred fifty-six million, eight hundred three thousand, two hundred sixty-four".