381960 has 48 divisors (see below), whose sum is σ = 1242540. Its totient is φ = 101760.

The previous prime is 381949. The next prime is 381977. The reversal of 381960 is 69183.

381960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 381924 + 36 = 618^2 + 6^2 .

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 381960.

It is an unprimeable number.

381960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171 + ... + 890.

2³⁸¹⁹⁶⁰ is an apocalyptic number.

381960 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 381960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621270).

381960 is an abundant number, since it is smaller than the sum of its proper divisors (860580).

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

381960 is a wasteful number, since it uses less digits than its factorization.

381960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 381960 is about 618.0291255273. The cubic root of 381960 is about 72.5558824008. Note that the first 3 decimals are identical.

The spelling of 381960 in words is "three hundred eighty-one thousand, nine hundred sixty".