256793592 has 64 divisors (see below), whose sum is σ = 716664960. Its totient is φ = 76003200.

The previous prime is 256793567. The next prime is 256793659. The reversal of 256793592 is 295397652.

Its product of digits (1020600) is a multiple of the sum of its prime divisors (22680).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42 + ... + 22662.

It is an arithmetic number, because the mean of its divisors is an integer number (11197890).

Almost surely, 2^256793592 is an apocalyptic number.

256793592 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256793592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358332480).

256793592 is an abundant number, since it is smaller than the sum of its proper divisors (459871368).

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

256793592 is a wasteful number, since it uses less digits than its factorization.

256793592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22684 (or 22680 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 48.

The square root of 256793592 is about 16024.7805601200. The cubic root of 256793592 is about 635.6158631235.

It can be divided in two parts, 25679359 and 2, that added together give a triangular number (25679361 = T₇₁₆₆).

The spelling of 256793592 in words is "two hundred fifty-six million, seven hundred ninety-three thousand, five hundred ninety-two".