409828904 has 32 divisors (see below), whose sum is σ = 802941120. Its totient is φ = 195735936.

The previous prime is 409828831. The next prime is 409828919.

It is a happy number.

409828904 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218579 + ... + 220445.

It is an arithmetic number, because the mean of its divisors is an integer number (25091910).

Almost surely, 2^409828904 is an apocalyptic number.

It is an amenable number.

409828904 is a deficient number, since it is larger than the sum of its proper divisors (393112216).

409828904 is a wasteful number, since it uses less digits than its factorization.

409828904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 409828904 is about 20244.2313758759. The cubic root of 409828904 is about 742.7925311372.

The spelling of 409828904 in words is "four hundred nine million, eight hundred twenty-eight thousand, nine hundred four".