504432 has 60 divisors (see below), whose sum is σ = 1470144. Its totient is φ = 161280.

The previous prime is 504403. The next prime is 504457. The reversal of 504432 is 234405.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

504432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4408 + ... + 4520.

2⁵⁰⁴⁴³² 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 504432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735072).

504432 is an abundant number, since it is smaller than the sum of its proper divisors (965712).

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

504432 is a wasteful number, since it uses less digits than its factorization.

504432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 504432 is about 710.2337643340. The cubic root of 504432 is about 79.6038751344.

Adding to 504432 its reverse (234405), we get a palindrome (738837).

The spelling of 504432 in words is "five hundred four thousand, four hundred thirty-two".