509345280 has 160 divisors (see below), whose sum is σ = 1809482400. Its totient is φ = 135806976.

The previous prime is 509345257. The next prime is 509345297. The reversal of 509345280 is 82543905.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×509345280² = 518865228516556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65436 + ... + 72804.

It is an arithmetic number, because the mean of its divisors is an integer number (11309265).

Almost surely, 2^509345280 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 509345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904741200).

509345280 is an abundant number, since it is smaller than the sum of its proper divisors (1300137120).

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

509345280 is an equidigital number, since it uses as much as digits as its factorization.

509345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7401 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 509345280 is about 22568.6791815560. The cubic root of 509345280 is about 798.6149367169.

The spelling of 509345280 in words is "five hundred nine million, three hundred forty-five thousand, two hundred eighty".