509924864 has 80 divisors (see below), whose sum is σ = 1073167920. Its totient is φ = 241704960.

The previous prime is 509924839. The next prime is 509924867. The reversal of 509924864 is 468429905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509924867) 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, 905447 + ... + 906009.

It is an arithmetic number, because the mean of its divisors is an integer number (13414599).

Almost surely, 2^509924864 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 509924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536583960).

509924864 is an abundant number, since it is smaller than the sum of its proper divisors (563243056).

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

509924864 is an equidigital number, since it uses as much as digits as its factorization.

509924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 509924864 is about 22581.5159809965. The cubic root of 509924864 is about 798.9177365425.

The spelling of 509924864 in words is "five hundred nine million, nine hundred twenty-four thousand, eight hundred sixty-four".