509286980 has 48 divisors (see below), whose sum is σ = 1113376320. Its totient is φ = 195447168.

The previous prime is 509286977. The next prime is 509286983. The reversal of 509286980 is 89682905.

It is an interprime number because it is at equal distance from previous prime (509286977) and next prime (509286983).

It is not an unprimeable number, because it can be changed into a prime (509286983) 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, 91847 + ... + 97233.

It is an arithmetic number, because the mean of its divisors is an integer number (23195340).

Almost surely, 2^509286980 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 509286980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556688160).

509286980 is an abundant number, since it is smaller than the sum of its proper divisors (604089340).

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

509286980 is a wasteful number, since it uses less digits than its factorization.

509286980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 509286980 is about 22567.3875315686. The cubic root of 509286980 is about 798.5844655551.

The spelling of 509286980 in words is "five hundred nine million, two hundred eighty-six thousand, nine hundred eighty".