503520 has 48 divisors (see below), whose sum is σ = 1587600. Its totient is φ = 134144.

The previous prime is 503501. The next prime is 503543. The reversal of 503520 is 25305.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 503520.

It is a congruent number.

It is an unprimeable number.

503520 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 7 ways as a sum of consecutive naturals, for example, 45 + ... + 1004.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2⁵⁰³⁵²⁰ 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 503520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793800).

503520 is an abundant number, since it is smaller than the sum of its proper divisors (1084080).

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

503520 is a wasteful number, since it uses less digits than its factorization.

503520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 503520 is about 709.5914317408. The cubic root of 503520 is about 79.5558722781. Note that the first 3 decimals are identical.

Adding to 503520 its reverse (25305), we get a palindrome (528825).

It can be divided in two parts, 50 and 3520, that added together give a triangular number (3570 = T₈₄).

The spelling of 503520 in words is "five hundred three thousand, five hundred twenty".