208404 has 36 divisors (see below), whose sum is σ = 602784. Its totient is φ = 59472.

The previous prime is 208393. The next prime is 208409. The reversal of 208404 is 404802.

It is a happy number.

208404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

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 208404.

It is not an unprimeable number, because it can be changed into a prime (208409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (16744).

2²⁰⁸⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

208404 is an abundant number, since it is smaller than the sum of its proper divisors (394380).

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

208404 is a wasteful number, since it uses less digits than its factorization.

208404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 839 counting only the distinct ones).

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

The square root of 208404 is about 456.5128694791. The cubic root of 208404 is about 59.2882570849.

The spelling of 208404 in words is "two hundred eight thousand, four hundred four".