256338 has 32 divisors (see below), whose sum is σ = 587520. Its totient is φ = 82800.

The previous prime is 256337. The next prime is 256349. The reversal of 256338 is 833652.

256338 is a `hidden beast` number, since 25 + 633 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (256337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2488 + ... + 2588.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2²⁵⁶³³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293760).

256338 is an abundant number, since it is smaller than the sum of its proper divisors (331182).

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

256338 is a wasteful number, since it uses less digits than its factorization.

256338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 256338 is about 506.2983310263. The cubic root of 256338 is about 63.5239746618.

It can be divided in two parts, 2563 and 38, that added together give a square (2601 = 51²).

The spelling of 256338 in words is "two hundred fifty-six thousand, three hundred thirty-eight".