256811952 has 80 divisors (see below), whose sum is σ = 680234240. Its totient is φ = 83462400.

The previous prime is 256811941. The next prime is 256811959. The reversal of 256811952 is 259118652.

It is a self number, because there is not a number n which added to its sum of digits gives 256811952.

It is not an unprimeable number, because it can be changed into a prime (256811959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406677 + ... + 407307.

It is an arithmetic number, because the mean of its divisors is an integer number (8502928).

Almost surely, 2^256811952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256811952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340117120).

256811952 is an abundant number, since it is smaller than the sum of its proper divisors (423422288).

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

256811952 is a wasteful number, since it uses less digits than its factorization.

256811952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 256811952 is about 16025.3534126396. The cubic root of 256811952 is about 635.6310109952.

The spelling of 256811952 in words is "two hundred fifty-six million, eight hundred eleven thousand, nine hundred fifty-two".