4516312320 has 432 divisors, whose sum is σ = 17175609360. Its totient is φ = 1088815104.

The previous prime is 4516312301. The next prime is 4516312321. The reversal of 4516312320 is 232136154.

4516312320 is a `hidden beast` number, since 4 + 5 + 1 + 631 + 2 + 3 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 489648384 + 4026663936 = 22128^2 + 63456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4516312321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7936996 + ... + 7937564.

It is an arithmetic number, because the mean of its divisors is an integer number (39758355).

Almost surely, 2^4516312320 is an apocalyptic number.

4516312320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4516312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587804680).

4516312320 is an abundant number, since it is smaller than the sum of its proper divisors (12659297040).

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

4516312320 is a wasteful number, since it uses less digits than its factorization.

4516312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4516312320 is about 67203.5141938277. The cubic root of 4516312320 is about 1652.9561111883.

Adding to 4516312320 its reverse (232136154), we get a palindrome (4748448474).

The spelling of 4516312320 in words is "four billion, five hundred sixteen million, three hundred twelve thousand, three hundred twenty".