408204 has 72 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 118272.

The previous prime is 408203. The next prime is 408209. The reversal of 408204 is 402804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (408203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14062 + ... + 14090.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2⁴⁰⁸²⁰⁴ 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 408204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

408204 is an abundant number, since it is smaller than the sum of its proper divisors (771156).

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

408204 is a wasteful number, since it uses less digits than its factorization.

408204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 408204 is about 638.9084441452. The cubic root of 408204 is about 74.1809547582.

The spelling of 408204 in words is "four hundred eight thousand, two hundred four".