381914080 has 96 divisors (see below), whose sum is σ = 958003200. Its totient is φ = 143565312.

The previous prime is 381914069. The next prime is 381914083. The reversal of 381914080 is 80419183.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381914083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216241 + ... + 217999.

It is an arithmetic number, because the mean of its divisors is an integer number (9979200).

Almost surely, 2^381914080 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 381914080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479001600).

381914080 is an abundant number, since it is smaller than the sum of its proper divisors (576089120).

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

381914080 is a wasteful number, since it uses less digits than its factorization.

381914080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 381914080 is about 19542.6221372670. The cubic root of 381914080 is about 725.5297467951.

The spelling of 381914080 in words is "three hundred eighty-one million, nine hundred fourteen thousand, eighty".