408220904 has 64 divisors (see below), whose sum is σ = 944576640. Its totient is φ = 161061120.

The previous prime is 408220903. The next prime is 408220913. The reversal of 408220904 is 409022804.

It is not an unprimeable number, because it can be changed into a prime (408220903) 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, 496814 + ... + 497634.

It is an arithmetic number, because the mean of its divisors is an integer number (14759010).

Almost surely, 2^408220904 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 408220904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472288320).

408220904 is an abundant number, since it is smaller than the sum of its proper divisors (536355736).

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

408220904 is a wasteful number, since it uses less digits than its factorization.

408220904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 408220904 is about 20204.4773255831. The cubic root of 408220904 is about 741.8197870503.

The spelling of 408220904 in words is "four hundred eight million, two hundred twenty thousand, nine hundred four".