404090404 has 45 divisors (see below), whose sum is σ = 780260187. Its totient is φ = 183089016.

The previous prime is 404090399. The next prime is 404090417.

The square root of 404090404 is 20102.

It is a perfect power (a square), and thus also a powerful number.

404090404 is nontrivially palindromic in base 10.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17569137 + ... + 17569159.

Almost surely, 2^404090404 is an apocalyptic number.

404090404 is the 20102-nd square number.

It is an amenable number.

404090404 is a deficient number, since it is larger than the sum of its proper divisors (376169783).

404090404 is an frugal number, since it uses more digits than its factorization.

404090404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The cubic root of 404090404 is about 739.3093165892.

Multiplying 404090404 by its sum of digits (25), we get a square (10102260100 = 100510²).

Multiplying 404090404 by its product of nonzero digits (2304), we get a square (931024290816 = 964896²).

The spelling of 404090404 in words is "four hundred four million, ninety thousand, four hundred four".