256045944 has 128 divisors (see below), whose sum is σ = 802368000. Its totient is φ = 66147840.

The previous prime is 256045939. The next prime is 256045963. The reversal of 256045944 is 449540652.

It is a happy number.

It is a super-2 number, since 2×256045944² = 131119050877702272, which contains 22 as substring.

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, 644754 + ... + 645150.

It is an arithmetic number, because the mean of its divisors is an integer number (6268500).

Almost surely, 2^256045944 is an apocalyptic number.

256045944 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 256045944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401184000).

256045944 is an abundant number, since it is smaller than the sum of its proper divisors (546322056).

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

256045944 is a wasteful number, since it uses less digits than its factorization.

256045944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 256045944 is about 16001.4356855877. The cubic root of 256045944 is about 634.9984036995.

The spelling of 256045944 in words is "two hundred fifty-six million, forty-five thousand, nine hundred forty-four".