409095904 has 72 divisors (see below), whose sum is σ = 944145720. Its totient is φ = 173972736.

The previous prime is 409095899. The next prime is 409095949. The reversal of 409095904 is 409590904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217014 + ... + 218890.

It is an arithmetic number, because the mean of its divisors is an integer number (13113135).

Almost surely, 2^409095904 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 409095904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472072860).

409095904 is an abundant number, since it is smaller than the sum of its proper divisors (535049816).

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

409095904 is a wasteful number, since it uses less digits than its factorization.

409095904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 409095904 is about 20226.1193509778. The cubic root of 409095904 is about 742.3494260225.

The spelling of 409095904 in words is "four hundred nine million, ninety-five thousand, nine hundred four".