504309 has 16 divisors (see below), whose sum is σ = 738752. Its totient is φ = 304128.

The previous prime is 504307. The next prime is 504311. The reversal of 504309 is 903405.

It is an interprime number because it is at equal distance from previous prime (504307) and next prime (504311).

It is not a de Polignac number, because 504309 - 2¹ = 504307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2517 + ... + 2709.

It is an arithmetic number, because the mean of its divisors is an integer number (46172).

2⁵⁰⁴³⁰⁹ is an apocalyptic number.

It is an amenable number.

504309 is a deficient number, since it is larger than the sum of its proper divisors (234443).

504309 is a wasteful number, since it uses less digits than its factorization.

504309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 504309 is about 710.1471678462. The cubic root of 504309 is about 79.5974044422.

The spelling of 504309 in words is "five hundred four thousand, three hundred nine".