381327408 has 360 divisors, whose sum is σ = 1438903440. Its totient is φ = 93219840.

The previous prime is 381327383. The next prime is 381327413. The reversal of 381327408 is 804723183.

381327408 is a `hidden beast` number, since 381 + 3 + 274 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 22431016 + ... + 22431032.

It is an arithmetic number, because the mean of its divisors is an integer number (3996954).

Almost surely, 2^381327408 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 381327408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719451720).

381327408 is an abundant number, since it is smaller than the sum of its proper divisors (1057576032).

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

381327408 is a wasteful number, since it uses less digits than its factorization.

381327408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 381327408 is about 19527.6063049212. The cubic root of 381327408 is about 725.1580522638.

The spelling of 381327408 in words is "three hundred eighty-one million, three hundred twenty-seven thousand, four hundred eight".