320413300 has 36 divisors (see below), whose sum is σ = 699353676. Its totient is φ = 127417600.

The previous prime is 320413277. The next prime is 320413307. The reversal of 320413300 is 3314023.

It can be written as a sum of positive squares in 6 ways, for example, as 61653904 + 258759396 = 7852^2 + 16086^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320413307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8040 + ... + 26560.

It is an arithmetic number, because the mean of its divisors is an integer number (19426491).

Almost surely, 2^320413300 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 320413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349676838).

320413300 is an abundant number, since it is smaller than the sum of its proper divisors (378940376).

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

320413300 is a wasteful number, since it uses less digits than its factorization.

320413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18708 (or 18701 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 320413300 is about 17900.0921785336. The cubic root of 320413300 is about 684.2847240930.

Adding to 320413300 its reverse (3314023), we get a palindrome (323727323).

The spelling of 320413300 in words is "three hundred twenty million, four hundred thirteen thousand, three hundred".