327412200 has 96 divisors (see below), whose sum is σ = 1020648960. Its totient is φ = 86822400.

The previous prime is 327412187. The next prime is 327412201. The reversal of 327412200 is 2214723.

327412200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (327412201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113172 + ... + 116028.

It is an arithmetic number, because the mean of its divisors is an integer number (10631760).

Almost surely, 2^327412200 is an apocalyptic number.

327412200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510324480).

327412200 is an abundant number, since it is smaller than the sum of its proper divisors (693236760).

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

327412200 is a wasteful number, since it uses less digits than its factorization.

327412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 327412200 is about 18094.5350865945. The cubic root of 327412200 is about 689.2312379012.

Adding to 327412200 its reverse (2214723), we get a palindrome (329626923).

The spelling of 327412200 in words is "three hundred twenty-seven million, four hundred twelve thousand, two hundred".