256392400 has 60 divisors (see below), whose sum is σ = 671992704. Its totient is φ = 93232000.

The previous prime is 256392397. The next prime is 256392407. The reversal of 256392400 is 4293652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256392407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24736 + ... + 33535.

Almost surely, 2^256392400 is an apocalyptic number.

256392400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256392400 is an abundant number, since it is smaller than the sum of its proper divisors (415600304).

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

256392400 is a wasteful number, since it uses less digits than its factorization.

256392400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58300 (or 58289 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 256392400 is about 16012.2578045696. The cubic root of 256392400 is about 635.2846802573.

The spelling of 256392400 in words is "two hundred fifty-six million, three hundred ninety-two thousand, four hundred".