256908960 has 432 divisors, whose sum is σ = 1115910432. Its totient is φ = 53222400.

The previous prime is 256908923. The next prime is 256908983. The reversal of 256908960 is 69809652.

256908960 is a `hidden beast` number, since 2 + 569 + 0 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 775995 + ... + 776325.

It is an arithmetic number, because the mean of its divisors is an integer number (2583126).

Almost surely, 2^256908960 is an apocalyptic number.

256908960 is a gapful number since it is divisible by the number (20) 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 256908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557955216).

256908960 is an abundant number, since it is smaller than the sum of its proper divisors (859001472).

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

256908960 is a wasteful number, since it uses less digits than its factorization.

256908960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 256908960 is about 16028.3798307876. The cubic root of 256908960 is about 635.7110352182.

The spelling of 256908960 in words is "two hundred fifty-six million, nine hundred eight thousand, nine hundred sixty".