517114304 has 112 divisors (see below), whose sum is σ = 1228953600. Its totient is φ = 211261440.

The previous prime is 517114271. The next prime is 517114327. The reversal of 517114304 is 403411715.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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, 862997 + ... + 863595.

It is an arithmetic number, because the mean of its divisors is an integer number (10972800).

Almost surely, 2^517114304 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 517114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800).

517114304 is an abundant number, since it is smaller than the sum of its proper divisors (711839296).

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

517114304 is a wasteful number, since it uses less digits than its factorization.

517114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 517114304 is about 22740.1474049752. The cubic root of 517114304 is about 802.6548797706.

The spelling of 517114304 in words is "five hundred seventeen million, one hundred fourteen thousand, three hundred four".