338531256 has 96 divisors (see below), whose sum is σ = 1051315200. Its totient is φ = 96402240.

The previous prime is 338531231. The next prime is 338531287. The reversal of 338531256 is 652135833.

338531256 is a `hidden beast` number, since 338 + 5 + 312 + 5 + 6 = 666.

It is a super-2 number, since 2×338531256² = 229206822577875072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 338531256.

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, 180001 + ... + 181871.

It is an arithmetic number, because the mean of its divisors is an integer number (10951200).

Almost surely, 2^338531256 is an apocalyptic number.

338531256 is a gapful number since it is divisible by the number (36) 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 338531256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525657600).

338531256 is an abundant number, since it is smaller than the sum of its proper divisors (712783944).

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

338531256 is a wasteful number, since it uses less digits than its factorization.

338531256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2242 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 338531256 is about 18399.2188964641. The cubic root of 338531256 is about 696.9467397466.

The spelling of 338531256 in words is "three hundred thirty-eight million, five hundred thirty-one thousand, two hundred fifty-six".