256710400 has 54 divisors (see below), whose sum is σ = 635414192. Its totient is φ = 102681600.

The previous prime is 256710397. The next prime is 256710401. The reversal of 256710400 is 4017652.

256710400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256710401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13656 + ... + 26455.

Almost surely, 2^256710400 is an apocalyptic number.

256710400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256710400 is an abundant number, since it is smaller than the sum of its proper divisors (378703792).

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

256710400 is an equidigital number, since it uses as much as digits as its factorization.

256710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40137 (or 40118 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 256710400 is about 16022.1846200822. The cubic root of 256710400 is about 635.5472167245.

The spelling of 256710400 in words is "two hundred fifty-six million, seven hundred ten thousand, four hundred".