517472 has 24 divisors (see below), whose sum is σ = 1035216. Its totient is φ = 254592.

The previous prime is 517471. The next prime is 517481. The reversal of 517472 is 274715.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 517472.

It is not an unprimeable number, because it can be changed into a prime (517471) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3218 + ... + 3374.

It is an arithmetic number, because the mean of its divisors is an integer number (43134).

2⁵¹⁷⁴⁷² is an apocalyptic number.

It is an amenable number.

517472 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

517472 is a wasteful number, since it uses less digits than its factorization.

517472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 1960, while the sum is 26.

The square root of 517472 is about 719.3552668883. The cubic root of 517472 is about 80.2839906733.

It can be divided in two parts, 517 and 472, that added together give a palindrome (989).

The spelling of 517472 in words is "five hundred seventeen thousand, four hundred seventy-two".