509800 has 24 divisors (see below), whose sum is σ = 1185750. Its totient is φ = 203840.

The previous prime is 509797. The next prime is 509801. The reversal of 509800 is 8905.

It can be written as a sum of positive squares in 3 ways, for example, as 470596 + 39204 = 686^2 + 198^2 .

It is not an unprimeable number, because it can be changed into a prime (509801) 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 5 ways as a sum of consecutive naturals, for example, 1075 + ... + 1474.

2⁵⁰⁹⁸⁰⁰ is an apocalyptic number.

509800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

509800 is an abundant number, since it is smaller than the sum of its proper divisors (675950).

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

509800 is a wasteful number, since it uses less digits than its factorization.

509800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 509800 is about 714.0028011150. The cubic root of 509800 is about 79.8852521570.

It can be divided in two parts, 50 and 9800, that multiplied together give a square (490000 = 700²).

The spelling of 509800 in words is "five hundred nine thousand, eight hundred".