256951968 has 192 divisors, whose sum is σ = 844462080. Its totient is φ = 66604032.

The previous prime is 256951927. The next prime is 256951997. The reversal of 256951968 is 869159652.

It is a self number, because there is not a number n which added to its sum of digits gives 256951968.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585093 + ... + 585531.

It is an arithmetic number, because the mean of its divisors is an integer number (4398240).

Almost surely, 2^256951968 is an apocalyptic number.

256951968 is a gapful number since it is divisible by the number (28) 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 256951968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422231040).

256951968 is an abundant number, since it is smaller than the sum of its proper divisors (587510112).

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

256951968 is a wasteful number, since it uses less digits than its factorization.

256951968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 51.

The square root of 256951968 is about 16029.7213949588. The cubic root of 256951968 is about 635.7465071025.

The spelling of 256951968 in words is "two hundred fifty-six million, nine hundred fifty-one thousand, nine hundred sixty-eight".