515472 has 20 divisors (see below), whose sum is σ = 1331760. Its totient is φ = 171808.

The previous prime is 515429. The next prime is 515477. The reversal of 515472 is 274515.

It is a super-3 number, since 3×515472³ = 410900333719302144, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 515472.

It is not an unprimeable number, because it can be changed into a prime (515477) by changing a digit.

515472 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 3 ways as a sum of consecutive naturals, for example, 5322 + ... + 5417.

It is an arithmetic number, because the mean of its divisors is an integer number (66588).

2⁵¹⁵⁴⁷² is an apocalyptic number.

It is an amenable number.

515472 is an abundant number, since it is smaller than the sum of its proper divisors (816288).

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

515472 is a wasteful number, since it uses less digits than its factorization.

515472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10750 (or 10744 counting only the distinct ones).

The product of its digits is 1400, while the sum is 24.

The square root of 515472 is about 717.9637873876. The cubic root of 515472 is about 80.1804261077.

Adding to 515472 its reverse (274515), we get a palindrome (789987).

The spelling of 515472 in words is "five hundred fifteen thousand, four hundred seventy-two".