325933920 has 288 divisors, whose sum is σ = 1251536832. Its totient is φ = 76640256.

The previous prime is 325933913. The next prime is 325933963. The reversal of 325933920 is 29339523.

325933920 is a `hidden beast` number, since 32 + 593 + 39 + 2 + 0 = 666.

325933920 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430182 + ... + 430938.

It is an arithmetic number, because the mean of its divisors is an integer number (4345614).

Almost surely, 2^325933920 is an apocalyptic number.

325933920 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 325933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625768416).

325933920 is an abundant number, since it is smaller than the sum of its proper divisors (925602912).

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

325933920 is a wasteful number, since it uses less digits than its factorization.

325933920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 325933920 is about 18053.6400761730. The cubic root of 325933920 is about 688.1923700396.

The spelling of 325933920 in words is "three hundred twenty-five million, nine hundred thirty-three thousand, nine hundred twenty".