509320 has 64 divisors (see below), whose sum is σ = 1399680. Its totient is φ = 162816.

The previous prime is 509317. The next prime is 509329. The reversal of 509320 is 23905.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (509329) 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, 4707 + ... + 4813.

It is an arithmetic number, because the mean of its divisors is an integer number (21870).

2⁵⁰⁹³²⁰ 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 509320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699840).

509320 is an abundant number, since it is smaller than the sum of its proper divisors (890360).

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

509320 is a wasteful number, since it uses less digits than its factorization.

509320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 509320 is about 713.6665888214. Note that the first 3 decimals coincide. The cubic root of 509320 is about 79.8601724121.

The spelling of 509320 in words is "five hundred nine thousand, three hundred twenty".