516264 has 48 divisors (see below), whose sum is σ = 1504800. Its totient is φ = 147168.

The previous prime is 516253. The next prime is 516277. The reversal of 516264 is 462615.

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

It is a nialpdrome in base 14.

It is an unprimeable number.

516264 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 11 ways as a sum of consecutive naturals, for example, 957 + ... + 1395.

It is an arithmetic number, because the mean of its divisors is an integer number (31350).

2⁵¹⁶²⁶⁴ 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 516264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752400).

516264 is an abundant number, since it is smaller than the sum of its proper divisors (988536).

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

516264 is a wasteful number, since it uses less digits than its factorization.

516264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 516264 is about 718.5151355400. The cubic root of 516264 is about 80.2214696574.

Adding to 516264 its reverse (462615), we get a palindrome (978879).

It can be divided in two parts, 516 and 264, that added together give a triangular number (780 = T₃₉).

The spelling of 516264 in words is "five hundred sixteen thousand, two hundred sixty-four".