338952 has 32 divisors (see below), whose sum is σ = 878400. Its totient is φ = 108864.

The previous prime is 338927. The next prime is 338959. The reversal of 338952 is 259833.

It is a happy number.

It is a super-2 number, since 2×338952² = 229776916608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338959) by changing a digit.

338952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (27450).

2³³⁸⁹⁵² 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 338952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439200).

338952 is an abundant number, since it is smaller than the sum of its proper divisors (539448).

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

338952 is a wasteful number, since it uses less digits than its factorization.

338952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 338952 is about 582.1958433380. The cubic root of 338952 is about 69.7235353924.

The spelling of 338952 in words is "three hundred thirty-eight thousand, nine hundred fifty-two".