506316320 has 96 divisors (see below), whose sum is σ = 1232558208. Its totient is φ = 196466688.

The previous prime is 506316311. The next prime is 506316323. The reversal of 506316320 is 23613605.

It is a self number, because there is not a number n which added to its sum of digits gives 506316320.

It is not an unprimeable number, because it can be changed into a prime (506316323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782237 + ... + 782883.

It is an arithmetic number, because the mean of its divisors is an integer number (12839148).

Almost surely, 2^506316320 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 506316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616279104).

506316320 is an abundant number, since it is smaller than the sum of its proper divisors (726241888).

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

506316320 is a wasteful number, since it uses less digits than its factorization.

506316320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 506316320 is about 22501.4737295138. The cubic root of 506316320 is about 797.0287280914.

Adding to 506316320 its reverse (23613605), we get a palindrome (529929925).

The spelling of 506316320 in words is "five hundred six million, three hundred sixteen thousand, three hundred twenty".