256800964 has 18 divisors (see below), whose sum is σ = 522773790. Its totient is φ = 110057472.

The previous prime is 256800949. The next prime is 256800967. The reversal of 256800964 is 469008652.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 254721600 + 2079364 = 15960^2 + 1442^2 .

It is a super-2 number, since 2×256800964² = 131893470222658592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256800967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 654909 + ... + 655300.

Almost surely, 2^256800964 is an apocalyptic number.

It is an amenable number.

256800964 is an abundant number, since it is smaller than the sum of its proper divisors (265972826).

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

256800964 is a wasteful number, since it uses less digits than its factorization.

256800964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310227 (or 1310218 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 256800964 is about 16025.0105772196. The cubic root of 256800964 is about 635.6219454603.

The spelling of 256800964 in words is "two hundred fifty-six million, eight hundred thousand, nine hundred sixty-four".