509969808 has 120 divisors (see below), whose sum is σ = 1548322776. Its totient is φ = 156057600.

The previous prime is 509969797. The next prime is 509969813. The reversal of 509969808 is 808969905.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 508412304 = 1248^2 + 22548^2 .

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 23 ways as a sum of consecutive naturals, for example, 97828 + ... + 102908.

Almost surely, 2^509969808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509969808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774161388).

509969808 is an abundant number, since it is smaller than the sum of its proper divisors (1038352968).

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

509969808 is a wasteful number, since it uses less digits than its factorization.

509969808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 509969808 is about 22582.5111092633. The cubic root of 509969808 is about 798.9412076500.

The spelling of 509969808 in words is "five hundred nine million, nine hundred sixty-nine thousand, eight hundred eight".