518280 has 64 divisors (see below), whose sum is σ = 1779840. Its totient is φ = 118272.

The previous prime is 518261. The next prime is 518291. The reversal of 518280 is 82815.

518280 = T₈₅ + T₈₆ + ... + T₁₅₄.

It is a super-2 number, since 2×518280² = 537228316800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 518280.

It is an unprimeable number.

518280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (27810).

2⁵¹⁸²⁸⁰ 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 518280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889920).

518280 is an abundant number, since it is smaller than the sum of its proper divisors (1261560).

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

518280 is a wasteful number, since it uses less digits than its factorization.

518280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 518280 is about 719.9166618436. The cubic root of 518280 is about 80.3257550783.

The spelling of 518280 in words is "five hundred eighteen thousand, two hundred eighty".