409606904 has 64 divisors (see below), whose sum is σ = 912038400. Its totient is φ = 168739200.

The previous prime is 409606859. The next prime is 409606913.

409606904 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504659 + ... + 505469.

It is an arithmetic number, because the mean of its divisors is an integer number (14250600).

Almost surely, 2^409606904 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 409606904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456019200).

409606904 is an abundant number, since it is smaller than the sum of its proper divisors (502431496).

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

409606904 is a wasteful number, since it uses less digits than its factorization.

409606904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 409606904 is about 20238.7475897102. The cubic root of 409606904 is about 742.6583859496.

The spelling of 409606904 in words is "four hundred nine million, six hundred six thousand, nine hundred four".