325274400 has 432 divisors, whose sum is σ = 1318978080. Its totient is φ = 76723200.

The previous prime is 325274293. The next prime is 325274419. The reversal of 325274400 is 4472523.

325274400 is a `hidden beast` number, since 3 + 252 + 7 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8791182 + ... + 8791218.

It is an arithmetic number, because the mean of its divisors is an integer number (3053190).

Almost surely, 2^325274400 is an apocalyptic number.

325274400 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 325274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659489040).

325274400 is an abundant number, since it is smaller than the sum of its proper divisors (993703680).

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

325274400 is a wasteful number, since it uses less digits than its factorization.

325274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 325274400 is about 18035.3652582918. The cubic root of 325274400 is about 687.7278759760.

The spelling of 325274400 in words is "three hundred twenty-five million, two hundred seventy-four thousand, four hundred".