404686404 has 18 divisors (see below), whose sum is σ = 1022957390. Its totient is φ = 134895456.

The previous prime is 404686391. The next prime is 404686421.

404686404 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 8 + 640 + 4 = 666.

404686404 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 259532100 + 145154304 = 16110^2 + 12048^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11241289 = 404686404 / (4 + 0 + 4 + 6 + 8 + 6 + 4 + 0 + 4).

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 5 ways as a sum of consecutive naturals, for example, 5620609 + ... + 5620680.

Almost surely, 2^404686404 is an apocalyptic number.

It is an amenable number.

404686404 is an abundant number, since it is smaller than the sum of its proper divisors (618270986).

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

404686404 is a wasteful number, since it uses less digits than its factorization.

404686404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11241299 (or 11241294 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 404686404 is about 20116.8189334199. The cubic root of 404686404 is about 739.6726114489.

The spelling of 404686404 in words is "four hundred four million, six hundred eighty-six thousand, four hundred four".