409304 has 16 divisors (see below), whose sum is σ = 877200. Its totient is φ = 175392.

The previous prime is 409291. The next prime is 409327. The reversal of 409304 is 403904.

409304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3599 + ... + 3710.

It is an arithmetic number, because the mean of its divisors is an integer number (54825).

2⁴⁰⁹³⁰⁴ is an apocalyptic number.

It is an amenable number.

409304 is an abundant number, since it is smaller than the sum of its proper divisors (467896).

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

409304 is a wasteful number, since it uses less digits than its factorization.

409304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322 (or 7318 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 409304 is about 639.7687082063. The cubic root of 409304 is about 74.2475275698.

The spelling of 409304 in words is "four hundred nine thousand, three hundred four".