256013856 has 216 divisors, whose sum is σ = 867432384. Its totient is φ = 70156800.

The previous prime is 256013843. The next prime is 256013869. The reversal of 256013856 is 658310652.

256013856 is a `hidden beast` number, since 2 + 560 + 13 + 85 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (256013843) and next prime (256013869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 256013856.

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, 1695381 + ... + 1695531.

Almost surely, 2^256013856 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 256013856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433716192).

256013856 is an abundant number, since it is smaller than the sum of its proper divisors (611418528).

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

256013856 is a wasteful number, since it uses less digits than its factorization.

256013856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 256013856 is about 16000.4329941411. The cubic root of 256013856 is about 634.9718763249.

The spelling of 256013856 in words is "two hundred fifty-six million, thirteen thousand, eight hundred fifty-six".