504009 has 16 divisors (see below), whose sum is σ = 815040. Its totient is φ = 305280.

The previous prime is 504001. The next prime is 504011. The reversal of 504009 is 900405.

It is not a de Polignac number, because 504009 - 2³ = 504001 is a prime.

504009 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 503982 and 504000.

It is not an unprimeable number, because it can be changed into a prime (504001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552 + ... + 1145.

It is an arithmetic number, because the mean of its divisors is an integer number (50940).

2⁵⁰⁴⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

504009 is a deficient number, since it is larger than the sum of its proper divisors (311031).

504009 is a wasteful number, since it uses less digits than its factorization.

504009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 504009 is about 709.9359126006. The cubic root of 504009 is about 79.5816178524.

The spelling of 504009 in words is "five hundred four thousand, nine".