408404804 has 12 divisors (see below), whose sum is σ = 756750204. Its totient is φ = 192190464.

The previous prime is 408404771. The next prime is 408404807.

It is a happy number.

408404804 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 178275904 + 230128900 = 13352^2 + 15170^2 .

It is not an unprimeable number, because it can be changed into a prime (408404807) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3002909 + ... + 3003044.

It is an arithmetic number, because the mean of its divisors is an integer number (63062517).

Almost surely, 2^408404804 is an apocalyptic number.

It is an amenable number.

408404804 is a deficient number, since it is larger than the sum of its proper divisors (348345400).

408404804 is a wasteful number, since it uses less digits than its factorization.

408404804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005974 (or 6005972 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 408404804 is about 20209.0277846313. The cubic root of 408404804 is about 741.9311648012.

The spelling of 408404804 in words is "four hundred eight million, four hundred four thousand, eight hundred four".