517980672 has 180 divisors, whose sum is σ = 1644953310. Its totient is φ = 156794880.

The previous prime is 517980653. The next prime is 517980689. The reversal of 517980672 is 276089715.

It can be written as a sum of positive squares in only one way, i.e., 515471616 + 2509056 = 22704^2 + 1584^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 557104 + ... + 558032.

Almost surely, 2^517980672 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 517980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822476655).

517980672 is an abundant number, since it is smaller than the sum of its proper divisors (1126972638).

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

517980672 is a wasteful number, since it uses less digits than its factorization.

517980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 945 counting only the distinct ones).

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

The square root of 517980672 is about 22759.1887377384. The cubic root of 517980672 is about 803.1028829208.

It can be divided in two parts, 517 and 980672, that added together give a palindrome (981189).

The spelling of 517980672 in words is "five hundred seventeen million, nine hundred eighty thousand, six hundred seventy-two".