256364000 has 48 divisors (see below), whose sum is σ = 629896176. Its totient is φ = 102544000.

The previous prime is 256363999. The next prime is 256364047. The reversal of 256364000 is 463652.

It is a congruent number.

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, 28046 + ... + 36045.

It is an arithmetic number, because the mean of its divisors is an integer number (13122837).

Almost surely, 2^256364000 is an apocalyptic number.

256364000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256364000 is an abundant number, since it is smaller than the sum of its proper divisors (373532176).

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

256364000 is an equidigital number, since it uses as much as digits as its factorization.

256364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64116 (or 64098 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 256364000 is about 16011.3709594151. The cubic root of 256364000 is about 635.2612230473.

The spelling of 256364000 in words is "two hundred fifty-six million, three hundred sixty-four thousand".