509485824 has 108 divisors (see below), whose sum is σ = 1476499752. Its totient is φ = 168960000.

The previous prime is 509485793. The next prime is 509485829. The reversal of 509485824 is 428584905.

It is a self number, because there is not a number n which added to its sum of digits gives 509485824.

It is not an unprimeable number, because it can be changed into a prime (509485829) 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, 577864 + ... + 578744.

It is an arithmetic number, because the mean of its divisors is an integer number (13671294).

Almost surely, 2^509485824 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 509485824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738249876).

509485824 is an abundant number, since it is smaller than the sum of its proper divisors (967013928).

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

509485824 is a wasteful number, since it uses less digits than its factorization.

509485824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 509485824 is about 22571.7926625246. The cubic root of 509485824 is about 798.6883840882.

The spelling of 509485824 in words is "five hundred nine million, four hundred eighty-five thousand, eight hundred twenty-four".