256592 has 40 divisors (see below), whose sum is σ = 595200. Its totient is φ = 104832.

The previous prime is 256589. The next prime is 256603. The reversal of 256592 is 295652.

256592 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

256592 is a modest number, since divided by 592 gives 256 as remainder.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256592.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3209 + ... + 3287.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2²⁵⁶⁵⁹² 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 256592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297600).

256592 is an abundant number, since it is smaller than the sum of its proper divisors (338608).

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

256592 is a wasteful number, since it uses less digits than its factorization.

256592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 5400, while the sum is 29.

The square root of 256592 is about 506.5491091691. The cubic root of 256592 is about 63.5449492646.

Subtracting 256592 from its reverse (295652), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 256 and 592, that added together give a palindrome (848).

The spelling of 256592 in words is "two hundred fifty-six thousand, five hundred ninety-two".