382301920 has 432 divisors, whose sum is σ = 1283796864. Its totient is φ = 106444800.

The previous prime is 382301897. The next prime is 382301921. The reversal of 382301920 is 29103283.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382301921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12332305 + ... + 12332335.

It is an arithmetic number, because the mean of its divisors is an integer number (2971752).

Almost surely, 2^382301920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641898432).

382301920 is an abundant number, since it is smaller than the sum of its proper divisors (901494944).

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

382301920 is a wasteful number, since it uses less digits than its factorization.

382301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 382301920 is about 19552.5425456640. The cubic root of 382301920 is about 725.7752594846.

The spelling of 382301920 in words is "three hundred eighty-two million, three hundred one thousand, nine hundred twenty".