256587408 has 240 divisors, whose sum is σ = 910406016. Its totient is φ = 65525760.

The previous prime is 256587361. The next prime is 256587413. The reversal of 256587408 is 804785652.

256587408 is a `hidden beast` number, since 2 + 565 + 87 + 4 + 0 + 8 = 666.

256587408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 809266 + ... + 809582.

Almost surely, 2^256587408 is an apocalyptic number.

256587408 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 256587408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455203008).

256587408 is an abundant number, since it is smaller than the sum of its proper divisors (653818608).

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

256587408 is a wasteful number, since it uses less digits than its factorization.

256587408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 256587408 is about 16018.3459820295. The cubic root of 256587408 is about 635.4457019305.

The spelling of 256587408 in words is "two hundred fifty-six million, five hundred eighty-seven thousand, four hundred eight".