382381440 has 256 divisors, whose sum is σ = 1454699520. Its totient is φ = 83533824.

The previous prime is 382381429. The next prime is 382381481. The reversal of 382381440 is 44183283.

382381440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 308502 + ... + 309738.

It is an arithmetic number, because the mean of its divisors is an integer number (5682420).

Almost surely, 2^382381440 is an apocalyptic number.

382381440 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 382381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727349760).

382381440 is an abundant number, since it is smaller than the sum of its proper divisors (1072318080).

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

382381440 is a wasteful number, since it uses less digits than its factorization.

382381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 382381440 is about 19554.5759350593. The cubic root of 382381440 is about 725.8255771738.

The spelling of 382381440 in words is "three hundred eighty-two million, three hundred eighty-one thousand, four hundred forty".