404704133253 has 48 divisors (see below), whose sum is σ = 674822512000. Its totient is φ = 228936170880.

The previous prime is 404704133219. The next prime is 404704133257. The reversal of 404704133253 is 352331407404.

404704133253 is a `hidden beast` number, since 4 + 0 + 470 + 4 + 133 + 2 + 53 = 666.

It is not a de Polignac number, because 404704133253 - 2⁸ = 404704132997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404704133257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2989983 + ... + 3122403.

Almost surely, 2^404704133253 is an apocalyptic number.

It is an amenable number.

404704133253 is a deficient number, since it is larger than the sum of its proper divisors (270118378747).

404704133253 is a wasteful number, since it uses less digits than its factorization.

404704133253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132922 (or 132919 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 404704133253 in words is "four hundred four billion, seven hundred four million, one hundred thirty-three thousand, two hundred fifty-three".