516304 has 30 divisors (see below), whose sum is σ = 1062866. Its totient is φ = 242880.

The previous prime is 516293. The next prime is 516319. The reversal of 516304 is 403615.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 211600 = 552^2 + 460^2 .

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8434 + ... + 8494.

2⁵¹⁶³⁰⁴ 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 516304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531433).

516304 is an abundant number, since it is smaller than the sum of its proper divisors (546562).

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

516304 is a wasteful number, since it uses less digits than its factorization.

516304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 516304 is about 718.5429701834. The cubic root of 516304 is about 80.2235414501.

Adding to 516304 its reverse (403615), we get a palindrome (919919).

It can be divided in two parts, 516 and 304, that added together give a triangular number (820 = T₄₀).

The spelling of 516304 in words is "five hundred sixteen thousand, three hundred four".