408420504 has 96 divisors (see below), whose sum is σ = 1195974000. Its totient is φ = 125473536.

The previous prime is 408420469. The next prime is 408420511. The reversal of 408420504 is 405024804.

It is a super-2 number, since 2×408420504² = 333614616175228032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46582 + ... + 54650.

Almost surely, 2^408420504 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 408420504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597987000).

408420504 is an abundant number, since it is smaller than the sum of its proper divisors (787553496).

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

408420504 is a wasteful number, since it uses less digits than its factorization.

408420504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8137 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 408420504 is about 20209.4162211579. The cubic root of 408420504 is about 741.9406718475.

The spelling of 408420504 in words is "four hundred eight million, four hundred twenty thousand, five hundred four".