509024 has 12 divisors (see below), whose sum is σ = 1002204. Its totient is φ = 254496.

The previous prime is 509023. The next prime is 509027. The reversal of 509024 is 420905.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 508987 and 509005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7922 + ... + 7985.

It is an arithmetic number, because the mean of its divisors is an integer number (83517).

2⁵⁰⁹⁰²⁴ is an apocalyptic number.

It is an amenable number.

509024 is a deficient number, since it is larger than the sum of its proper divisors (493180).

509024 is a wasteful number, since it uses less digits than its factorization.

509024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15917 (or 15909 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 509024 is about 713.4591789304. The cubic root of 509024 is about 79.8446987140.

Adding to 509024 its reverse (420905), we get a palindrome (929929).

The spelling of 509024 in words is "five hundred nine thousand, twenty-four".