256291956 has 36 divisors (see below), whose sum is σ = 648343332. Its totient is φ = 85365504.

The previous prime is 256291939. The next prime is 256291957. The reversal of 256291956 is 659192652.

It is a happy number.

256291956 is a `hidden beast` number, since 2 + 5 + 629 + 19 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 245987856 + 10304100 = 15684^2 + 3210^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256291957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78060 + ... + 81276.

It is an arithmetic number, because the mean of its divisors is an integer number (18009537).

Almost surely, 2^256291956 is an apocalyptic number.

It is an amenable number.

256291956 is an abundant number, since it is smaller than the sum of its proper divisors (392051376).

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

256291956 is a wasteful number, since it uses less digits than its factorization.

256291956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 5435 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 256291956 is about 16009.1210252156. The cubic root of 256291956 is about 635.2017099496.

The spelling of 256291956 in words is "two hundred fifty-six million, two hundred ninety-one thousand, nine hundred fifty-six".