509428880 has 40 divisors (see below), whose sum is σ = 1197747000. Its totient is φ = 201479168.

The previous prime is 509428841. The next prime is 509428901. The reversal of 509428880 is 88824905.

It can be written as a sum of positive squares in 4 ways, for example, as 2458624 + 506970256 = 1568^2 + 22516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 28655 + ... + 42894.

It is an arithmetic number, because the mean of its divisors is an integer number (29943675).

Almost surely, 2^509428880 is an apocalyptic number.

It is an amenable number.

509428880 is an abundant number, since it is smaller than the sum of its proper divisors (688318120).

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

509428880 is a wasteful number, since it uses less digits than its factorization.

509428880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71651 (or 71645 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 509428880 is about 22570.5312299024. The cubic root of 509428880 is about 798.6586271557.

The spelling of 509428880 in words is "five hundred nine million, four hundred twenty-eight thousand, eight hundred eighty".