325971200 has 162 divisors, whose sum is σ = 849426102. Its totient is φ = 123801600.

The previous prime is 325971199. The next prime is 325971211. The reversal of 325971200 is 2179523.

It can be written as a sum of positive squares in 3 ways, for example, as 41576704 + 284394496 = 6448^2 + 16864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6150374 + ... + 6150426.

It is an arithmetic number, because the mean of its divisors is an integer number (5243371).

Almost surely, 2^325971200 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 325971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424713051).

325971200 is an abundant number, since it is smaller than the sum of its proper divisors (523454902).

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

325971200 is an equidigital number, since it uses as much as digits as its factorization.

325971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 325971200 is about 18054.6725254157. The cubic root of 325971200 is about 688.2186072939.

The spelling of 325971200 in words is "three hundred twenty-five million, nine hundred seventy-one thousand, two hundred".