256956288 has 64 divisors (see below), whose sum is σ = 686496720. Its totient is φ = 85155840.

The previous prime is 256956257. The next prime is 256956289. The reversal of 256956288 is 882659652.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 256956288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256956289) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 67656 + ... + 71352.

Almost surely, 2^256956288 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 256956288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343248360).

256956288 is an abundant number, since it is smaller than the sum of its proper divisors (429540432).

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

256956288 is a wasteful number, since it uses less digits than its factorization.

256956288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3883 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 256956288 is about 16029.8561440831. The cubic root of 256956288 is about 635.7500699078.

The spelling of 256956288 in words is "two hundred fifty-six million, nine hundred fifty-six thousand, two hundred eighty-eight".