517272984 has 72 divisors (see below), whose sum is σ = 1418427660. Its totient is φ = 170299008.

The previous prime is 517272953. The next prime is 517273007. The reversal of 517272984 is 489272715.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 569859 + ... + 570765.

Almost surely, 2^517272984 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 517272984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709213830).

517272984 is an abundant number, since it is smaller than the sum of its proper divisors (901154676).

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

517272984 is a wasteful number, since it uses less digits than its factorization.

517272984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1001 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 517272984 is about 22743.6361209020. The cubic root of 517272984 is about 802.7369713894.

The spelling of 517272984 in words is "five hundred seventeen million, two hundred seventy-two thousand, nine hundred eighty-four".