509906020 has 48 divisors (see below), whose sum is σ = 1155737520. Its totient is φ = 187854336.

The previous prime is 509906017. The next prime is 509906027. The reversal of 509906020 is 20609905.

It can be written as a sum of positive squares in 8 ways, for example, as 30558784 + 479347236 = 5528^2 + 21894^2 .

It is not an unprimeable number, because it can be changed into a prime (509906027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 130414 + ... + 134266.

It is an arithmetic number, because the mean of its divisors is an integer number (24077865).

Almost surely, 2^509906020 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 509906020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577868760).

509906020 is an abundant number, since it is smaller than the sum of its proper divisors (645831500).

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

509906020 is a wasteful number, since it uses less digits than its factorization.

509906020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 509906020 is about 22581.0987332326. The cubic root of 509906020 is about 798.9078952290.

The spelling of 509906020 in words is "five hundred nine million, nine hundred six thousand, twenty".