256310964 has 108 divisors (see below), whose sum is σ = 811724004. Its totient is φ = 67592448.

The previous prime is 256310953. The next prime is 256311017. The reversal of 256310964 is 469013652.

It is a happy number.

256310964 is a `hidden beast` number, since 2 + 563 + 1 + 0 + 96 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132434064 + 123876900 = 11508^2 + 11130^2 .

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 35 ways as a sum of consecutive naturals, for example, 17344 + ... + 28520.

It is an arithmetic number, because the mean of its divisors is an integer number (7515963).

Almost surely, 2^256310964 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 256310964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405862002).

256310964 is an abundant number, since it is smaller than the sum of its proper divisors (555413040).

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

256310964 is a wasteful number, since it uses less digits than its factorization.

256310964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11214 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 256310964 is about 16009.7146757836. The cubic root of 256310964 is about 635.2174128948.

The spelling of 256310964 in words is "two hundred fifty-six million, three hundred ten thousand, nine hundred sixty-four".