331364200 has 96 divisors (see below), whose sum is σ = 792594360. Its totient is φ = 128793600.

The previous prime is 331364191. The next prime is 331364227. The reversal of 331364200 is 2463133.

It can be written as a sum of positive squares in 12 ways, for example, as 2232036 + 329132164 = 1494^2 + 18142^2 .

It is an unprimeable number.

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, 1915314 + ... + 1915486.

Almost surely, 2^331364200 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 331364200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396297180).

331364200 is an abundant number, since it is smaller than the sum of its proper divisors (461230160).

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

331364200 is a wasteful number, since it uses less digits than its factorization.

331364200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 331364200 is about 18203.4117681274. The cubic root of 331364200 is about 691.9932561963.

The spelling of 331364200 in words is "three hundred thirty-one million, three hundred sixty-four thousand, two hundred".