515280 has 80 divisors (see below), whose sum is σ = 1696320. Its totient is φ = 129024.

The previous prime is 515279. The next prime is 515293. The reversal of 515280 is 82515.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable 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, 4504 + ... + 4616.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

2⁵¹⁵²⁸⁰ 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 515280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848160).

515280 is an abundant number, since it is smaller than the sum of its proper divisors (1181040).

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

515280 is a wasteful number, since it uses less digits than its factorization.

515280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 515280 is about 717.8300634551. The cubic root of 515280 is about 80.1704698258.

Adding to 515280 its reverse (82515), we get a palindrome (597795).

The spelling of 515280 in words is "five hundred fifteen thousand, two hundred eighty".