408804 has 48 divisors (see below), whose sum is σ = 1102080. Its totient is φ = 116640.

The previous prime is 408803. The next prime is 408809.

408804 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2427 + ... + 2589.

It is an arithmetic number, because the mean of its divisors is an integer number (22960).

2⁴⁰⁸⁸⁰⁴ is an apocalyptic number.

408804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551040).

408804 is an abundant number, since it is smaller than the sum of its proper divisors (693276).

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

408804 is a wasteful number, since it uses less digits than its factorization.

408804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 408804 is about 639.3778225744. The cubic root of 408804 is about 74.2172820061.

The spelling of 408804 in words is "four hundred eight thousand, eight hundred four".