504384 has 56 divisors (see below), whose sum is σ = 1389888. Its totient is φ = 161280.

The previous prime is 504379. The next prime is 504389. The reversal of 504384 is 483405.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (504379) and next prime (504389).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504389) 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, 7069 + ... + 7139.

2⁵⁰⁴³⁸⁴ 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 504384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694944).

504384 is an abundant number, since it is smaller than the sum of its proper divisors (885504).

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

504384 is a wasteful number, since it uses less digits than its factorization.

504384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 504384 is about 710.1999718389. The cubic root of 504384 is about 79.6013501114.

Adding to 504384 its reverse (483405), we get a palindrome (987789).

It can be divided in two parts, 504 and 384, that added together give a palindrome (888).

The spelling of 504384 in words is "five hundred four thousand, three hundred eighty-four".