517980 has 48 divisors (see below), whose sum is σ = 1481760. Its totient is φ = 135168.

The previous prime is 517967. The next prime is 517981. The reversal of 517980 is 89715.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517981) by changing a digit.

517980 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 5292 + ... + 5388.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2⁵¹⁷⁹⁸⁰ 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 517980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740880).

517980 is an abundant number, since it is smaller than the sum of its proper divisors (963780).

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

517980 is a wasteful number, since it uses less digits than its factorization.

517980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 517980 is about 719.7082742334. The cubic root of 517980 is about 80.3102535620.

The spelling of 517980 in words is "five hundred seventeen thousand, nine hundred eighty".