256588420 has 24 divisors (see below), whose sum is σ = 587821248. Its totient is φ = 93304800.

The previous prime is 256588403. The next prime is 256588469. The reversal of 256588420 is 24885652.

256588420 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 7 ways as a sum of consecutive naturals, for example, 582936 + ... + 583375.

It is an arithmetic number, because the mean of its divisors is an integer number (24492552).

Almost surely, 2^256588420 is an apocalyptic number.

256588420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256588420 is an abundant number, since it is smaller than the sum of its proper divisors (331232828).

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

256588420 is a wasteful number, since it uses less digits than its factorization.

256588420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166331 (or 1166329 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 256588420 is about 16018.3775707779. The cubic root of 256588420 is about 635.4465373446.

The spelling of 256588420 in words is "two hundred fifty-six million, five hundred eighty-eight thousand, four hundred twenty".