505904972 has 24 divisors (see below), whose sum is σ = 939047760. Its totient is φ = 237657600.

The previous prime is 505904939. The next prime is 505904977. The reversal of 505904972 is 279409505.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (505904977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34679 + ... + 47057.

It is an arithmetic number, because the mean of its divisors is an integer number (39126990).

Almost surely, 2^505904972 is an apocalyptic number.

It is an amenable number.

505904972 is a deficient number, since it is larger than the sum of its proper divisors (433142788).

505904972 is a wasteful number, since it uses less digits than its factorization.

505904972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13001 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 505904972 is about 22492.3314042809. The cubic root of 505904972 is about 796.8128255107.

The spelling of 505904972 in words is "five hundred five million, nine hundred four thousand, nine hundred seventy-two".