255257856 has 432 divisors, whose sum is σ = 956592000. Its totient is φ = 65028096.

The previous prime is 255257843. The next prime is 255257903. The reversal of 255257856 is 658752552.

255257856 is a `hidden beast` number, since 2 + 5 + 525 + 78 + 56 = 666.

255257856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (840000) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13434615 + ... + 13434633.

Almost surely, 2^255257856 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 255257856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478296000).

255257856 is an abundant number, since it is smaller than the sum of its proper divisors (701334144).

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

255257856 is a wasteful number, since it uses less digits than its factorization.

255257856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

The product of its digits is 840000, while the sum is 45.

The square root of 255257856 is about 15976.7911671900. The cubic root of 255257856 is about 634.3462434844.

The spelling of 255257856 in words is "two hundred fifty-five million, two hundred fifty-seven thousand, eight hundred fifty-six".