503208 has 48 divisors (see below), whose sum is σ = 1415700. Its totient is φ = 161280.

The previous prime is 503207. The next prime is 503213. The reversal of 503208 is 802305.

503208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 492804 + 10404 = 702^2 + 102^2 .

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

It is not an unprimeable number, because it can be changed into a prime (503207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1968 + ... + 2208.

2⁵⁰³²⁰⁸ is an apocalyptic number.

503208 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707850).

503208 is an abundant number, since it is smaller than the sum of its proper divisors (912492).

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

503208 is a wasteful number, since it uses less digits than its factorization.

503208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 503208 is about 709.3715528551. The cubic root of 503208 is about 79.5394369424.

The spelling of 503208 in words is "five hundred three thousand, two hundred eight".