320413000 has 64 divisors (see below), whose sum is σ = 782421120. Its totient is φ = 122584000.

The previous prime is 320412973. The next prime is 320413001. The reversal of 320413000 is 314023.

It is not an unprimeable number, because it can be changed into a prime (320413001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16035 + ... + 29965.

It is an arithmetic number, because the mean of its divisors is an integer number (12225330).

Almost surely, 2^320413000 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 320413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391210560).

320413000 is an abundant number, since it is smaller than the sum of its proper divisors (462008120).

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

320413000 is a wasteful number, since it uses less digits than its factorization.

320413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13975 (or 13961 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 320413000 is about 17900.0837986865. The cubic root of 320413000 is about 684.2845105298.

Adding to 320413000 its reverse (314023), we get a palindrome (320727023).

The spelling of 320413000 in words is "three hundred twenty million, four hundred thirteen thousand".