509872 has 20 divisors (see below), whose sum is σ = 1078056. Its totient is φ = 231680.

The previous prime is 509867. The next prime is 509879. The reversal of 509872 is 278905.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (509879) 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, 1273 + ... + 1624.

2⁵⁰⁹⁸⁷² is an apocalyptic number.

It is an amenable number.

509872 is an abundant number, since it is smaller than the sum of its proper divisors (568184).

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

509872 is a wasteful number, since it uses less digits than its factorization.

509872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 509872 is about 714.0532193051. The cubic root of 509872 is about 79.8890127608.

The spelling of 509872 in words is "five hundred nine thousand, eight hundred seventy-two".