325706400 has 288 divisors, whose sum is σ = 1248670080. Its totient is φ = 81653760.

The previous prime is 325706377. The next prime is 325706413. The reversal of 325706400 is 4607523.

It is a happy number.

325706400 is a `hidden beast` number, since 3 + 257 + 0 + 6 + 400 = 666.

325706400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366757 + ... + 367643.

It is an arithmetic number, because the mean of its divisors is an integer number (4335660).

Almost surely, 2^325706400 is an apocalyptic number.

325706400 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 325706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624335040).

325706400 is an abundant number, since it is smaller than the sum of its proper divisors (922963680).

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

325706400 is a wasteful number, since it uses less digits than its factorization.

325706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 325706400 is about 18047.3377538073. The cubic root of 325706400 is about 688.0322005841.

The spelling of 325706400 in words is "three hundred twenty-five million, seven hundred six thousand, four hundred".