509704456 has 64 divisors (see below), whose sum is σ = 1017878400. Its totient is φ = 238963200.

The previous prime is 509704453. The next prime is 509704477. The reversal of 509704456 is 654407905.

It is a Smith number, since the sum of its digits (40) 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 (509704453) 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 15 ways as a sum of consecutive naturals, for example, 1001130 + ... + 1001638.

It is an arithmetic number, because the mean of its divisors is an integer number (15904350).

Almost surely, 2^509704456 is an apocalyptic number.

It is an amenable number.

509704456 is a deficient number, since it is larger than the sum of its proper divisors (508173944).

509704456 is a wasteful number, since it uses less digits than its factorization.

509704456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 509704456 is about 22576.6351788746. The cubic root of 509704456 is about 798.8026128909.

The spelling of 509704456 in words is "five hundred nine million, seven hundred four thousand, four hundred fifty-six".