332313200 has 120 divisors (see below), whose sum is σ = 854382816. Its totient is φ = 123904000.

The previous prime is 332313199. The next prime is 332313227. The reversal of 332313200 is 2313233.

It is a super-2 number, since 2×332313200² = 220864125788480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376760 + ... + 377640.

Almost surely, 2^332313200 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 332313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427191408).

332313200 is an abundant number, since it is smaller than the sum of its proper divisors (522069616).

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

332313200 is a wasteful number, since it uses less digits than its factorization.

332313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 952 counting only the distinct ones).

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

The square root of 332313200 is about 18229.4596738356. The cubic root of 332313200 is about 692.6532306116.

Adding to 332313200 its reverse (2313233), we get a palindrome (334626433).

The spelling of 332313200 in words is "three hundred thirty-two million, three hundred thirteen thousand, two hundred".