381180 has 24 divisors (see below), whose sum is σ = 1067472. Its totient is φ = 101632.

The previous prime is 381169. The next prime is 381181. The reversal of 381180 is 81183.

It is a happy number.

381180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381181) by changing a digit.

381180 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3117 + ... + 3236.

It is an arithmetic number, because the mean of its divisors is an integer number (44478).

2³⁸¹¹⁸⁰ is an apocalyptic number.

381180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381180 is an abundant number, since it is smaller than the sum of its proper divisors (686292).

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

381180 is a wasteful number, since it uses less digits than its factorization.

381180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 381180 is about 617.3977648162. The cubic root of 381180 is about 72.5064599872.

It can be divided in two parts, 381 and 180, that added together give a triangular number (561 = T₃₃).

The spelling of 381180 in words is "three hundred eighty-one thousand, one hundred eighty".