504504 has 144 divisors (see below), whose sum is σ = 1867320. Its totient is φ = 120960.

The previous prime is 504479. The next prime is 504521. The reversal of 504504 is 405405.

It is a happy number.

504504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

504504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 35 ways as a sum of consecutive naturals, for example, 38802 + ... + 38814.

2⁵⁰⁴⁵⁰⁴ 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 504504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933660).

504504 is an abundant number, since it is smaller than the sum of its proper divisors (1362816).

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

504504 is a wasteful number, since it uses less digits than its factorization.

504504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 504504 is about 710.2844500621. The cubic root of 504504 is about 79.6076623685.

Adding to 504504 its reverse (405405), we get a palindrome (909909).

Subtracting from 504504 its reverse (405405), we obtain a palindrome (99099).

It can be divided in two parts, 50 and 4504, that added together give a palindrome (4554).

The spelling of 504504 in words is "five hundred four thousand, five hundred four".