504320 has 40 divisors (see below), whose sum is σ = 1215324. Its totient is φ = 200704.

The previous prime is 504311. The next prime is 504323. The reversal of 504320 is 23405.

It can be written as a sum of positive squares in 2 ways, for example, as 473344 + 30976 = 688^2 + 176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 504295 and 504304.

It is not an unprimeable number, because it can be changed into a prime (504323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2462 + ... + 2658.

2⁵⁰⁴³²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607662).

504320 is an abundant number, since it is smaller than the sum of its proper divisors (711004).

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

504320 is an equidigital number, since it uses as much as digits as its factorization.

504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 504320 is about 710.1549126775. The cubic root of 504320 is about 79.5979831648.

Adding to 504320 its reverse (23405), we get a palindrome (527725).

It can be divided in two parts, 50 and 4320, that multiplied together give a cube (216000 = 60³).

The spelling of 504320 in words is "five hundred four thousand, three hundred twenty".