504120 has 32 divisors (see below), whose sum is σ = 1512720. Its totient is φ = 134400.

The previous prime is 504103. The next prime is 504121. The reversal of 504120 is 21405.

504120 = T₃₅₁ + T₃₅₂ + ... + T₃₅₈.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 504096 and 504105.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 504120.

It is not an unprimeable number, because it can be changed into a prime (504121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1981 + ... + 2220.

2⁵⁰⁴¹²⁰ is an apocalyptic number.

It is an amenable number.

504120 is an abundant number, since it is smaller than the sum of its proper divisors (1008600).

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

504120 is a wasteful number, since it uses less digits than its factorization.

504120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 504120 is about 710.0140843673. The cubic root of 504120 is about 79.5874596205.

Adding to 504120 its reverse (21405), we get a palindrome (525525).

The spelling of 504120 in words is "five hundred four thousand, one hundred twenty".