405999504 has 60 divisors (see below), whose sum is σ = 1157694876. Its totient is φ = 132777216.

The previous prime is 405999493. The next prime is 405999509.

405999504 is a `hidden beast` number, since 4 + 0 + 59 + 99 + 504 = 666.

405999504 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 288320400 + 117679104 = 16980^2 + 10848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 405999504.

It is not an unprimeable number, because it can be changed into a prime (405999509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18967 + ... + 34230.

Almost surely, 2^405999504 is an apocalyptic number.

It is an amenable number.

405999504 is an abundant number, since it is smaller than the sum of its proper divisors (751695372).

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

405999504 is a wasteful number, since it uses less digits than its factorization.

405999504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53264 (or 53255 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 405999504 is about 20149.4293715728. The cubic root of 405999504 is about 740.4717615134.

The spelling of 405999504 in words is "four hundred five million, nine hundred ninety-nine thousand, five hundred four".