509080 has 64 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 168960.

The previous prime is 509071. The next prime is 509087. The reversal of 509080 is 80905.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509087) 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, 5676 + ... + 5764.

2⁵⁰⁹⁰⁸⁰ 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 509080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680400).

509080 is an abundant number, since it is smaller than the sum of its proper divisors (851720).

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

509080 is a wasteful number, since it uses less digits than its factorization.

509080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 509080 is about 713.4984232638. The cubic root of 509080 is about 79.8476266304.

Adding to 509080 its reverse (80905), we get a palindrome (589985).

The spelling of 509080 in words is "five hundred nine thousand, eighty".