505800 has 72 divisors (see below), whose sum is σ = 1704690. Its totient is φ = 134400.

The previous prime is 505781. The next prime is 505811. The reversal of 505800 is 8505.

505800 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 3 ways, for example, as 412164 + 93636 = 642^2 + 306^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

505800 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 17 ways as a sum of consecutive naturals, for example, 1660 + ... + 1940.

2⁵⁰⁵⁸⁰⁰ is an apocalyptic number.

505800 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 505800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852345).

505800 is an abundant number, since it is smaller than the sum of its proper divisors (1198890).

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

505800 is a wasteful number, since it uses less digits than its factorization.

505800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 505800 is about 711.1961754678. The cubic root of 505800 is about 79.6757710534.

The spelling of 505800 in words is "five hundred five thousand, eight hundred".