256944 has 40 divisors (see below), whose sum is σ = 682992. Its totient is φ = 83200.

The previous prime is 256939. The next prime is 256957. The reversal of 256944 is 449652.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256944.

It is an unprimeable number.

256944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2494 + ... + 2594.

2²⁵⁶⁹⁴⁴ is an apocalyptic number.

256944 is a gapful number since it is divisible by the number (24) 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 256944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341496).

256944 is an abundant number, since it is smaller than the sum of its proper divisors (426048).

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

256944 is a wasteful number, since it uses less digits than its factorization.

256944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

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

The square root of 256944 is about 506.8964391274. The cubic root of 256944 is about 63.5739935601.

The spelling of 256944 in words is "two hundred fifty-six thousand, nine hundred forty-four".