325478400 has 288 divisors, whose sum is σ = 1165862880. Its totient is φ = 79626240.

The previous prime is 325478389. The next prime is 325478407. The reversal of 325478400 is 4874523.

It is not an unprimeable number, because it can be changed into a prime (325478407) 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, 1996719 + ... + 1996881.

It is an arithmetic number, because the mean of its divisors is an integer number (4048135).

Almost surely, 2^325478400 is an apocalyptic number.

325478400 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 325478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582931440).

325478400 is an abundant number, since it is smaller than the sum of its proper divisors (840384480).

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

325478400 is a wasteful number, since it uses less digits than its factorization.

325478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 325478400 is about 18041.0199268223. The cubic root of 325478400 is about 687.8716183745.

The spelling of 325478400 in words is "three hundred twenty-five million, four hundred seventy-eight thousand, four hundred".