404004008 has 16 divisors (see below), whose sum is σ = 760188480. Its totient is φ = 201287088.

The previous prime is 404003983. The next prime is 404004023. The reversal of 404004008 is 800400404.

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, 86960 + ... + 91487.

It is an arithmetic number, because the mean of its divisors is an integer number (47511780).

Almost surely, 2^404004008 is an apocalyptic number.

It is an amenable number.

404004008 is a deficient number, since it is larger than the sum of its proper divisors (356184472).

404004008 is a wasteful number, since it uses less digits than its factorization.

404004008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178736 (or 178732 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 404004008 is about 20099.8509447210. The cubic root of 404004008 is about 739.2566238256.

The spelling of 404004008 in words is "four hundred four million, four thousand, eight".