509220 has 96 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 126720.

The previous prime is 509203. The next prime is 509221. The reversal of 509220 is 22905.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 509193 and 509202.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509220.

It is not an unprimeable number, because it can be changed into a prime (509221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12400 + ... + 12440.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2⁵⁰⁹²²⁰ 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 509220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

509220 is an abundant number, since it is smaller than the sum of its proper divisors (1184220).

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

509220 is a wasteful number, since it uses less digits than its factorization.

509220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 509220 is about 713.5965246552. The cubic root of 509220 is about 79.8549454821.

It can be divided in two parts, 509 and 220, that added together give a 6-th power (729 = 3⁶).

The spelling of 509220 in words is "five hundred nine thousand, two hundred twenty".