325971600 has 360 divisors, whose sum is σ = 1205324640. Its totient is φ = 74833920.

The previous prime is 325971599. The next prime is 325971601. The reversal of 325971600 is 6179523.

325971600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (325971599) and next prime (325971601).

It is not an unprimeable number, because it can be changed into a prime (325971601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11240386 + ... + 11240414.

It is an arithmetic number, because the mean of its divisors is an integer number (3348124).

Almost surely, 2^325971600 is an apocalyptic number.

325971600 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 325971600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602662320).

325971600 is an abundant number, since it is smaller than the sum of its proper divisors (879353040).

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

325971600 is a wasteful number, since it uses less digits than its factorization.

325971600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 325971600 is about 18054.6836028771. The cubic root of 325971600 is about 688.2188887986.

The spelling of 325971600 in words is "three hundred twenty-five million, nine hundred seventy-one thousand, six hundred".