509728900 has 18 divisors (see below), whose sum is σ = 1106111930. Its totient is φ = 203891520.

The previous prime is 509728897. The next prime is 509728927. The reversal of 509728900 is 9827905.

It can be written as a sum of positive squares in 3 ways, for example, as 47306884 + 462422016 = 6878^2 + 21504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2548545 + ... + 2548744.

Almost surely, 2^509728900 is an apocalyptic number.

509728900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

509728900 is an abundant number, since it is smaller than the sum of its proper divisors (596383030).

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

509728900 is a wasteful number, since it uses less digits than its factorization.

509728900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097303 (or 5097296 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 509728900 is about 22577.1765285210. The cubic root of 509728900 is about 798.8153821331.

The spelling of 509728900 in words is "five hundred nine million, seven hundred twenty-eight thousand, nine hundred".