381800160 has 288 divisors, whose sum is σ = 1521374400. Its totient is φ = 87155712.

The previous prime is 381800143. The next prime is 381800171. The reversal of 381800160 is 61008183.

381800160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493534 + ... + 494306.

It is an arithmetic number, because the mean of its divisors is an integer number (5282550).

Almost surely, 2^381800160 is an apocalyptic number.

381800160 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 381800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760687200).

381800160 is an abundant number, since it is smaller than the sum of its proper divisors (1139574240).

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

381800160 is a wasteful number, since it uses less digits than its factorization.

381800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 381800160 is about 19539.7072649515. The cubic root of 381800160 is about 725.4576009273.

The spelling of 381800160 in words is "three hundred eighty-one million, eight hundred thousand, one hundred sixty".