509363904 has 112 divisors (see below), whose sum is σ = 1582001408. Its totient is φ = 141585408.

The previous prime is 509363903. The next prime is 509363909. The reversal of 509363904 is 409363905.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509363903) 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, 44607 + ... + 54849.

Almost surely, 2^509363904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509363904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791000704).

509363904 is an abundant number, since it is smaller than the sum of its proper divisors (1072637504).

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

509363904 is a wasteful number, since it uses less digits than its factorization.

509363904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 509363904 is about 22569.0917850054. The cubic root of 509363904 is about 798.6246702734.

Subtracting from 509363904 its reverse (409363905), we obtain a palindrome (99999999).

The spelling of 509363904 in words is "five hundred nine million, three hundred sixty-three thousand, nine hundred four".