256303656 has 128 divisors (see below), whose sum is σ = 819072000. Its totient is φ = 72743616.

The previous prime is 256303633. The next prime is 256303661. The reversal of 256303656 is 656303652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 256303656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270175 + ... + 271121.

It is an arithmetic number, because the mean of its divisors is an integer number (6399000).

Almost surely, 2^256303656 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 256303656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409536000).

256303656 is an abundant number, since it is smaller than the sum of its proper divisors (562768344).

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

256303656 is a wasteful number, since it uses less digits than its factorization.

256303656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 256303656 is about 16009.4864377343. The cubic root of 256303656 is about 635.2113756801.

The spelling of 256303656 in words is "two hundred fifty-six million, three hundred three thousand, six hundred fifty-six".