381312160 has 48 divisors (see below), whose sum is σ = 904974336. Its totient is φ = 151826688.

The previous prime is 381312149. The next prime is 381312161. The reversal of 381312160 is 61213183.

It is not an unprimeable number, because it can be changed into a prime (381312161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30337 + ... + 41023.

It is an arithmetic number, because the mean of its divisors is an integer number (18853632).

Almost surely, 2^381312160 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 381312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452487168).

381312160 is an abundant number, since it is smaller than the sum of its proper divisors (523662176).

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

381312160 is a wasteful number, since it uses less digits than its factorization.

381312160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10925 (or 10917 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 381312160 is about 19527.2158793823. The cubic root of 381312160 is about 725.1483865914.

The spelling of 381312160 in words is "three hundred eighty-one million, three hundred twelve thousand, one hundred sixty".