509424 has 20 divisors (see below), whose sum is σ = 1316136. Its totient is φ = 169792.

The previous prime is 509417. The next prime is 509429. The reversal of 509424 is 424905.

509424 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 509394 and 509403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509429) 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, 5259 + ... + 5354.

2⁵⁰⁹⁴²⁴ is an apocalyptic number.

It is an amenable number.

509424 is an abundant number, since it is smaller than the sum of its proper divisors (806712).

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

509424 is a wasteful number, since it uses less digits than its factorization.

509424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10624 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 509424 is about 713.7394482583. The cubic root of 509424 is about 79.8656076936.

The spelling of 509424 in words is "five hundred nine thousand, four hundred twenty-four".