320553200 has 180 divisors, whose sum is σ = 874240920. Its totient is φ = 112780800.

The previous prime is 320553193. The next prime is 320553209. The reversal of 320553200 is 2355023.

320553200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320553209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1790711 + ... + 1790889.

It is an arithmetic number, because the mean of its divisors is an integer number (4856894).

Almost surely, 2^320553200 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 320553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437120460).

320553200 is an abundant number, since it is smaller than the sum of its proper divisors (553687720).

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

320553200 is a wasteful number, since it uses less digits than its factorization.

320553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 320553200 is about 17903.9995531725. Note that the first 3 decimals coincide. The cubic root of 320553200 is about 684.3843012157.

The spelling of 320553200 in words is "three hundred twenty million, five hundred fifty-three thousand, two hundred".