509249720 has 64 divisors (see below), whose sum is σ = 1317193920. Its totient is φ = 173574144.

The previous prime is 509249711. The next prime is 509249729. The reversal of 509249720 is 27942905.

It is an interprime number because it is at equal distance from previous prime (509249711) and next prime (509249729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509249729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43184 + ... + 53696.

It is an arithmetic number, because the mean of its divisors is an integer number (20581155).

Almost surely, 2^509249720 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 509249720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658596960).

509249720 is an abundant number, since it is smaller than the sum of its proper divisors (807944200).

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

509249720 is a wasteful number, since it uses less digits than its factorization.

509249720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10704 (or 10700 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 509249720 is about 22566.5619889251. The cubic root of 509249720 is about 798.5649899719.

The spelling of 509249720 in words is "five hundred nine million, two hundred forty-nine thousand, seven hundred twenty".