332331200 has 84 divisors (see below), whose sum is σ = 833384160. Its totient is φ = 130391040.

The previous prime is 332331161. The next prime is 332331203. The reversal of 332331200 is 2133233.

332331200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×332331200² = 220888052986880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332331203) 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, 82841 + ... + 86759.

It is an arithmetic number, because the mean of its divisors is an integer number (9921240).

Almost surely, 2^332331200 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 332331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416692080).

332331200 is an abundant number, since it is smaller than the sum of its proper divisors (501052960).

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

332331200 is a wasteful number, since it uses less digits than its factorization.

332331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 332331200 is about 18229.9533735004. The cubic root of 332331200 is about 692.6657364174.

Adding to 332331200 its reverse (2133233), we get a palindrome (334464433).

The spelling of 332331200 in words is "three hundred thirty-two million, three hundred thirty-one thousand, two hundred".