503808 has 52 divisors (see below), whose sum is σ = 1376088. Its totient is φ = 163840.

The previous prime is 503803. The next prime is 503819. The reversal of 503808 is 808305.

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

It is not an unprimeable number, because it can be changed into a prime (503803) by changing a digit.

503808 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 3 ways as a sum of consecutive naturals, for example, 12268 + ... + 12308.

2⁵⁰³⁸⁰⁸ 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 503808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688044).

503808 is an abundant number, since it is smaller than the sum of its proper divisors (872280).

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

503808 is an equidigital number, since it uses as much as digits as its factorization.

503808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 503808 is about 709.7943364102. The cubic root of 503808 is about 79.5710373323.

The spelling of 503808 in words is "five hundred three thousand, eight hundred eight".