508200 has 144 divisors (see below), whose sum is σ = 1979040. Its totient is φ = 105600.

The previous prime is 508187. The next prime is 508213. The reversal of 508200 is 2805.

508200 = T₂₄₄ + T₂₄₅ + ... + T₂₅₉.

508200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (508187) and next prime (508213).

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 508200.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 508200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46195 + ... + 46205.

2⁵⁰⁸²⁰⁰ is an apocalyptic number.

508200 is a gapful number since it is divisible by the number (50) 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 508200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989520).

508200 is an abundant number, since it is smaller than the sum of its proper divisors (1470840).

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

508200 is a wasteful number, since it uses less digits than its factorization.

508200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 508200 is about 712.8814768249. The cubic root of 508200 is about 79.8015916668.

The spelling of 508200 in words is "five hundred eight thousand, two hundred".