325857120 has 192 divisors, whose sum is σ = 1079930880. Its totient is φ = 82483200.

The previous prime is 325857107. The next prime is 325857121. The reversal of 325857120 is 21758523.

325857120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325857121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907501 + ... + 907859.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^325857120 is an apocalyptic number.

325857120 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 325857120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

325857120 is an abundant number, since it is smaller than the sum of its proper divisors (754073760).

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

325857120 is a wasteful number, since it uses less digits than its factorization.

325857120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 325857120 is about 18051.5129559824. The cubic root of 325857120 is about 688.1383127367.

It can be divided in two parts, 3258 and 57120, that added together give a triangular number (60378 = T₃₄₇).

The spelling of 325857120 in words is "three hundred twenty-five million, eight hundred fifty-seven thousand, one hundred twenty".