509920 has 24 divisors (see below), whose sum is σ = 1205064. Its totient is φ = 203904.

The previous prime is 509911. The next prime is 509921. The reversal of 509920 is 29905.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1434 + ... + 1753.

It is an arithmetic number, because the mean of its divisors is an integer number (50211).

2⁵⁰⁹⁹²⁰ is an apocalyptic number.

It is an amenable number.

509920 is an abundant number, since it is smaller than the sum of its proper divisors (695144).

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

509920 is a wasteful number, since it uses less digits than its factorization.

509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 509920 is about 714.0868294542. The cubic root of 509920 is about 79.8915196333.

The spelling of 509920 in words is "five hundred nine thousand, nine hundred twenty".