516384 has 72 divisors (see below), whose sum is σ = 1611792. Its totient is φ = 155520.

The previous prime is 516377. The next prime is 516391. The reversal of 516384 is 483615.

It is an interprime number because it is at equal distance from previous prime (516377) and next prime (516391).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×516384³ = 413085153691533312, which contains 333 as substring.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516384.

It is an unprimeable number.

516384 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, 3087 + ... + 3249.

It is an arithmetic number, because the mean of its divisors is an integer number (22386).

2⁵¹⁶³⁸⁴ 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 516384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805896).

516384 is an abundant number, since it is smaller than the sum of its proper divisors (1095408).

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

516384 is a wasteful number, since it uses less digits than its factorization.

516384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 516384 is about 718.5986362358. The cubic root of 516384 is about 80.2276847145.

Adding to 516384 its reverse (483615), we get a palindrome (999999).

It can be divided in two parts, 516 and 384, that added together give a square (900 = 30²).

The spelling of 516384 in words is "five hundred sixteen thousand, three hundred eighty-four".