409504 has 24 divisors (see below), whose sum is σ = 822528. Its totient is φ = 200640.

The previous prime is 409499. The next prime is 409517. The reversal of 409504 is 405904.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2049 + ... + 2239.

It is an arithmetic number, because the mean of its divisors is an integer number (34272).

2⁴⁰⁹⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

409504 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

409504 is a wasteful number, since it uses less digits than its factorization.

409504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 409504 is about 639.9249956050. The cubic root of 409504 is about 74.2596188984.

Subtracting from 409504 its reverse (405904), we obtain a square (3600 = 60²).

The spelling of 409504 in words is "four hundred nine thousand, five hundred four".