256542400 has 84 divisors (see below), whose sum is σ = 637479040. Its totient is φ = 101606400.

The previous prime is 256542379. The next prime is 256542449. The reversal of 256542400 is 4245652.

256542400 is digitally balanced in base 3, 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 11 ways as a sum of consecutive naturals, for example, 173665 + ... + 175135.

Almost surely, 2^256542400 is an apocalyptic number.

256542400 is a gapful number since it is divisible by the number (20) 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 256542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318739520).

256542400 is an abundant number, since it is smaller than the sum of its proper divisors (380936640).

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

256542400 is a wasteful number, since it uses less digits than its factorization.

256542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 256542400 is about 16016.9410312956. The cubic root of 256542400 is about 635.4085452454.

The spelling of 256542400 in words is "two hundred fifty-six million, five hundred forty-two thousand, four hundred".