338404 has 12 divisors (see below), whose sum is σ = 646128. Its totient is φ = 153800.

The previous prime is 338389. The next prime is 338407. The reversal of 338404 is 404833.

It is a super-2 number, since 2×338404² = 229034534432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (338407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3802 + ... + 3889.

It is an arithmetic number, because the mean of its divisors is an integer number (53844).

2³³⁸⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

338404 is a deficient number, since it is larger than the sum of its proper divisors (307724).

338404 is a wasteful number, since it uses less digits than its factorization.

338404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 338404 is about 581.7250209506. The cubic root of 338404 is about 69.6859399934.

The spelling of 338404 in words is "three hundred thirty-eight thousand, four hundred four".