256392224 has 72 divisors (see below), whose sum is σ = 579156480. Its totient is φ = 111436160.

The previous prime is 256392221. The next prime is 256392259. The reversal of 256392224 is 422293652.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (256392221) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 87617 + ... + 90495.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 2^256392224 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 256392224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

256392224 is an abundant number, since it is smaller than the sum of its proper divisors (322764256).

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

256392224 is a wasteful number, since it uses less digits than its factorization.

256392224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2915 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 256392224 is about 16012.2523087790. The cubic root of 256392224 is about 635.2845348941.

The spelling of 256392224 in words is "two hundred fifty-six million, three hundred ninety-two thousand, two hundred twenty-four".