509120 has 56 divisors (see below), whose sum is σ = 1274064. Its totient is φ = 193536.

The previous prime is 509101. The next prime is 509123. The reversal of 509120 is 21905.

It is not an unprimeable number, because it can be changed into a prime (509123) by changing a digit.

509120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11819 + ... + 11861.

2⁵⁰⁹¹²⁰ 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 509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637032).

509120 is an abundant number, since it is smaller than the sum of its proper divisors (764944).

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

509120 is a wasteful number, since it uses less digits than its factorization.

509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 509120 is about 713.5264536091. The cubic root of 509120 is about 79.8497178678.

The spelling of 509120 in words is "five hundred nine thousand, one hundred twenty".