408331404 has 72 divisors (see below), whose sum is σ = 1119744080. Its totient is φ = 124716672.

The previous prime is 408331403. The next prime is 408331447. The reversal of 408331404 is 404133804.

It is a super-2 number, since 2×408331404² = 333469070985222432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (408331403) 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, 61914 + ... + 68190.

Almost surely, 2^408331404 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 408331404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559872040).

408331404 is an abundant number, since it is smaller than the sum of its proper divisors (711412676).

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

408331404 is a wasteful number, since it uses less digits than its factorization.

408331404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439 (or 6434 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 408331404 is about 20207.2116829611. The cubic root of 408331404 is about 741.8867146138.

The spelling of 408331404 in words is "four hundred eight million, three hundred thirty-one thousand, four hundred four".