256306764 has 48 divisors (see below), whose sum is σ = 686771456. Its totient is φ = 72878400.

The previous prime is 256306759. The next prime is 256306783. The reversal of 256306764 is 467603652.

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, 10494 + ... + 24954.

Almost surely, 2^256306764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256306764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343385728).

256306764 is an abundant number, since it is smaller than the sum of its proper divisors (430464692).

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

256306764 is a wasteful number, since it uses less digits than its factorization.

256306764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14686 (or 14684 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 256306764 is about 16009.5835048886. The cubic root of 256306764 is about 635.2139432452.

The spelling of 256306764 in words is "two hundred fifty-six million, three hundred six thousand, seven hundred sixty-four".