517908672 has 168 divisors, whose sum is σ = 1585514736. Its totient is φ = 161071104.

The previous prime is 517908637. The next prime is 517908683. The reversal of 517908672 is 276809715.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2222668 + ... + 2222900.

Almost surely, 2^517908672 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 517908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792757368).

517908672 is an abundant number, since it is smaller than the sum of its proper divisors (1067606064).

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

517908672 is a wasteful number, since it uses less digits than its factorization.

517908672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 517908672 is about 22757.6069040662. The cubic root of 517908672 is about 803.0656704082.

The spelling of 517908672 in words is "five hundred seventeen million, nine hundred eight thousand, six hundred seventy-two".