404004133 has 32 divisors (see below), whose sum is σ = 480664800. Its totient is φ = 337978368.

The previous prime is 404004109. The next prime is 404004143. The reversal of 404004133 is 331400404.

It can be written as a sum of positive squares in 16 ways, for example, as 348083649 + 55920484 = 18657^2 + 7478^2 .

It is not a de Polignac number, because 404004133 - 2⁵ = 404004101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 404004133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404004143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1082935 + ... + 1083307.

It is an arithmetic number, because the mean of its divisors is an integer number (15020775).

Almost surely, 2^404004133 is an apocalyptic number.

It is an amenable number.

404004133 is a deficient number, since it is larger than the sum of its proper divisors (76660667).

404004133 is a wasteful number, since it uses less digits than its factorization.

404004133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 404004133 is about 20099.8540541965. The cubic root of 404004133 is about 739.2567000683.

Adding to 404004133 its reverse (331400404), we get a palindrome (735404537).

The spelling of 404004133 in words is "four hundred four million, four thousand, one hundred thirty-three".