506800 has 60 divisors (see below), whose sum is σ = 1399216. Its totient is φ = 172800.

The previous prime is 506797. The next prime is 506809. The reversal of 506800 is 8605.

It is not an unprimeable number, because it can be changed into a prime (506809) 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, 2710 + ... + 2890.

2⁵⁰⁶⁸⁰⁰ is an apocalyptic number.

506800 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 506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699608).

506800 is an abundant number, since it is smaller than the sum of its proper divisors (892416).

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

506800 is a wasteful number, since it uses less digits than its factorization.

506800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 506800 is about 711.8988692223. The cubic root of 506800 is about 79.7282445743.

The spelling of 506800 in words is "five hundred six thousand, eight hundred".