515220 has 48 divisors (see below), whose sum is σ = 1494528. Its totient is φ = 132480.

The previous prime is 515191. The next prime is 515227. The reversal of 515220 is 22515.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 515220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515227) by changing a digit.

515220 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 15 ways as a sum of consecutive naturals, for example, 1722 + ... + 1998.

It is an arithmetic number, because the mean of its divisors is an integer number (31136).

2⁵¹⁵²²⁰ 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 515220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747264).

515220 is an abundant number, since it is smaller than the sum of its proper divisors (979308).

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

515220 is a wasteful number, since it uses less digits than its factorization.

515220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 515220 is about 717.7882696172. The cubic root of 515220 is about 80.1673579805.

Adding to 515220 its reverse (22515), we get a palindrome (537735).

It can be divided in two parts, 5 and 15220, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 515220 in words is "five hundred fifteen thousand, two hundred twenty".