503424 has 96 divisors (see below), whose sum is σ = 1591200. Its totient is φ = 152064.

The previous prime is 503423. The next prime is 503431. The reversal of 503424 is 424305.

It is a happy number.

503424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 503397 and 503406.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 503424.

It is not an unprimeable number, because it can be changed into a prime (503423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21877 + ... + 21899.

It is an arithmetic number, because the mean of its divisors is an integer number (16575).

2⁵⁰³⁴²⁴ 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 503424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795600).

503424 is an abundant number, since it is smaller than the sum of its proper divisors (1087776).

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

503424 is a wasteful number, since it uses less digits than its factorization.

503424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

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

The square root of 503424 is about 709.5237839565. The cubic root of 503424 is about 79.5508159751.

Adding to 503424 its reverse (424305), we get a palindrome (927729).

The spelling of 503424 in words is "five hundred three thousand, four hundred twenty-four".