404404004 has 12 divisors (see below), whose sum is σ = 707857500. Its totient is φ = 202159008.

The previous prime is 404404003. The next prime is 404404031. The reversal of 404404004 is 400404404.

It can be written as a sum of positive squares in 2 ways, for example, as 346034404 + 58369600 = 18602^2 + 7640^2 .

It is not an unprimeable number, because it can be changed into a prime (404404003) 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, 20522 + ... + 35070.

It is an arithmetic number, because the mean of its divisors is an integer number (58988125).

Almost surely, 2^404404004 is an apocalyptic number.

It is an amenable number.

404404004 is a deficient number, since it is larger than the sum of its proper divisors (303453496).

404404004 is a wasteful number, since it uses less digits than its factorization.

404404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21502 (or 21500 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 404404004 is about 20109.7987061035. The cubic root of 404404004 is about 739.5005175755.

Adding to 404404004 its reverse (400404404), we get a palindrome (804808408).

It can be divided in two parts, 40440 and 4004, that added together give a palindrome (44444).

The spelling of 404404004 in words is "four hundred four million, four hundred four thousand, four".