517040 has 40 divisors (see below), whose sum is σ = 1258848. Its totient is φ = 197120.

The previous prime is 517003. The next prime is 517043. The reversal of 517040 is 40715.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (517043) by changing a digit.

517040 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1700 + ... + 1980.

2⁵¹⁷⁰⁴⁰ 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 517040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629424).

517040 is an abundant number, since it is smaller than the sum of its proper divisors (741808).

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

517040 is a wasteful number, since it uses less digits than its factorization.

517040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 517040 is about 719.0549353144. The cubic root of 517040 is about 80.2616433516.

Adding to 517040 its reverse (40715), we get a palindrome (557755).

The spelling of 517040 in words is "five hundred seventeen thousand, forty".