517940 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 185472.

The previous prime is 517931. The next prime is 517949. The reversal of 517940 is 49715.

It is an interprime number because it is at equal distance from previous prime (517931) and next prime (517949).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10997 + ... + 11043.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁵¹⁷⁹⁴⁰ 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 517940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

517940 is an abundant number, since it is smaller than the sum of its proper divisors (691660).

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

517940 is a wasteful number, since it uses less digits than its factorization.

517940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 517940 is about 719.6804846597. The cubic root of 517940 is about 80.3081862410.

The spelling of 517940 in words is "five hundred seventeen thousand, nine hundred forty".