338492 has 36 divisors (see below), whose sum is σ = 756504. Its totient is φ = 131040.

The previous prime is 338477. The next prime is 338497. The reversal of 338492 is 294833.

338492 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×338492² = 229153668128, which contains 22 as substring.

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 338492.

It is not an unprimeable number, because it can be changed into a prime (338497) by changing a digit.

338492 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 11 ways as a sum of consecutive naturals, for example, 2078 + ... + 2234.

It is an arithmetic number, because the mean of its divisors is an integer number (21014).

2³³⁸⁴⁹² 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 338492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378252).

338492 is an abundant number, since it is smaller than the sum of its proper divisors (418012).

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

338492 is a wasteful number, since it uses less digits than its factorization.

338492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 338492 is about 581.8006531450. The cubic root of 338492 is about 69.6919799449.

The spelling of 338492 in words is "three hundred thirty-eight thousand, four hundred ninety-two".