509948672 has 36 divisors (see below), whose sum is σ = 1020229896. Its totient is φ = 254392320.

The previous prime is 509948651. The next prime is 509948687. The reversal of 509948672 is 276849905.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 509948672.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123668 + ... + 127724.

Almost surely, 2^509948672 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 509948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510114948).

509948672 is an abundant number, since it is smaller than the sum of its proper divisors (510281224).

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

509948672 is an equidigital number, since it uses as much as digits as its factorization.

509948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 509948672 is about 22582.0431316566. The cubic root of 509948672 is about 798.9301699674.

The spelling of 509948672 in words is "five hundred nine million, nine hundred forty-eight thousand, six hundred seventy-two".