517893984 has 144 divisors (see below), whose sum is σ = 1572676560. Its totient is φ = 161095680.

The previous prime is 517893973. The next prime is 517893997. The reversal of 517893984 is 489398715.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 517893984.

It is a congruent number.

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, 680164 + ... + 680924.

It is an arithmetic number, because the mean of its divisors is an integer number (10921365).

Almost surely, 2^517893984 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 517893984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786338280).

517893984 is an abundant number, since it is smaller than the sum of its proper divisors (1054782576).

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

517893984 is a wasteful number, since it uses less digits than its factorization.

517893984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 922 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 517893984 is about 22757.2841964941. The cubic root of 517893984 is about 803.0580786320.

The spelling of 517893984 in words is "five hundred seventeen million, eight hundred ninety-three thousand, nine hundred eighty-four".