256613364 has 72 divisors (see below), whose sum is σ = 744464448. Its totient is φ = 73008000.

The previous prime is 256613353. The next prime is 256613387. The reversal of 256613364 is 463316652.

256613364 is a `hidden beast` number, since 2 + 5 + 6 + 613 + 36 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (77760) is a multiple of the sum of its prime divisors (4320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61224 + ... + 65280.

It is an arithmetic number, because the mean of its divisors is an integer number (10339784).

Almost surely, 2^256613364 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 256613364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372232224).

256613364 is an abundant number, since it is smaller than the sum of its proper divisors (487851084).

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

256613364 is a wasteful number, since it uses less digits than its factorization.

256613364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4320 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 256613364 is about 16019.1561575509. The cubic root of 256613364 is about 635.4671281216.

The spelling of 256613364 in words is "two hundred fifty-six million, six hundred thirteen thousand, three hundred sixty-four".