382425120 has 288 divisors, whose sum is σ = 1627516800. Its totient is φ = 79441920.

The previous prime is 382425097. The next prime is 382425151. The reversal of 382425120 is 21524283.

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

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, 109156 + ... + 112604.

It is an arithmetic number, because the mean of its divisors is an integer number (5651100).

Almost surely, 2^382425120 is an apocalyptic number.

382425120 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 382425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813758400).

382425120 is an abundant number, since it is smaller than the sum of its proper divisors (1245091680).

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

382425120 is a wasteful number, since it uses less digits than its factorization.

382425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 382425120 is about 19555.6927772963. The cubic root of 382425120 is about 725.8532134995.

The spelling of 382425120 in words is "three hundred eighty-two million, four hundred twenty-five thousand, one hundred twenty".