509596648 has 64 divisors (see below), whose sum is σ = 1102896000. Its totient is φ = 218465280.

The previous prime is 509596639. The next prime is 509596651. The reversal of 509596648 is 846695905.

It is a junction number, because it is equal to n+sod(n) for n = 509596595 and 509596604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146028 + ... + 149476.

It is an arithmetic number, because the mean of its divisors is an integer number (17232750).

Almost surely, 2^509596648 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 509596648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551448000).

509596648 is an abundant number, since it is smaller than the sum of its proper divisors (593299352).

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

509596648 is a wasteful number, since it uses less digits than its factorization.

509596648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The square root of 509596648 is about 22574.2474514656. The cubic root of 509596648 is about 798.7462904585.

The spelling of 509596648 in words is "five hundred nine million, five hundred ninety-six thousand, six hundred forty-eight".