256944000 has 256 divisors, whose sum is σ = 876432960. Its totient is φ = 66560000.

The previous prime is 256943989. The next prime is 256944041. The reversal of 256944000 is 449652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2543950 + ... + 2544050.

Almost surely, 2^256944000 is an apocalyptic number.

256944000 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 256944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438216480).

256944000 is an abundant number, since it is smaller than the sum of its proper divisors (619488960).

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

256944000 is a wasteful number, since it uses less digits than its factorization.

256944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 256944000 is about 16029.4728547136. The cubic root of 256944000 is about 635.7399356012.

The spelling of 256944000 in words is "two hundred fifty-six million, nine hundred forty-four thousand".