338406 has 8 divisors (see below), whose sum is σ = 676824. Its totient is φ = 112800.

The previous prime is 338389. The next prime is 338407. The reversal of 338406 is 604833.

It is a sphenic number, since it is the product of 3 distinct primes.

338406 is an admirable number.

It is a super-2 number, since 2×338406² = 229037241672, 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 338406.

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

338406 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 3 ways as a sum of consecutive naturals, for example, 28195 + ... + 28206.

It is an arithmetic number, because the mean of its divisors is an integer number (84603).

2³³⁸⁴⁰⁶ is an apocalyptic number.

338406 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

338406 is a wasteful number, since it uses less digits than its factorization.

338406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56406.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 338406 is about 581.7267399733. The cubic root of 338406 is about 69.6860772766.

The spelling of 338406 in words is "three hundred thirty-eight thousand, four hundred six".