320399200 has 144 divisors (see below), whose sum is σ = 890942976. Its totient is φ = 111372800.

The previous prime is 320399197. The next prime is 320399201. The reversal of 320399200 is 2993023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320399201) 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 23 ways as a sum of consecutive naturals, for example, 201609 + ... + 203191.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^320399200 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 320399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445471488).

320399200 is an abundant number, since it is smaller than the sum of its proper divisors (570543776).

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

320399200 is a wasteful number, since it uses less digits than its factorization.

320399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 320399200 is about 17899.6983214802. The cubic root of 320399200 is about 684.2746864779.

The spelling of 320399200 in words is "three hundred twenty million, three hundred ninety-nine thousand, two hundred".