256009536 has 42 divisors (see below), whose sum is σ = 733806762. Its totient is φ = 85336320.

The previous prime is 256009529. The next prime is 256009543. The reversal of 256009536 is 635900652.

256009536 is a `hidden beast` number, since 2 + 560 + 0 + 95 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (256009529) and next prime (256009543).

It can be written as a sum of positive squares in only one way, i.e., 214329600 + 41679936 = 14640^2 + 6456^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 256009536.

It is a congruent number.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 221655 + ... + 222806.

Almost surely, 2^256009536 is an apocalyptic number.

It is an amenable number.

256009536 is an abundant number, since it is smaller than the sum of its proper divisors (477797226).

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

256009536 is a wasteful number, since it uses less digits than its factorization.

256009536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444479 (or 444466 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 256009536 is about 16000.2979972249. The cubic root of 256009536 is about 634.9683047813.

The spelling of 256009536 in words is "two hundred fifty-six million, nine thousand, five hundred thirty-six".