381461184 has 112 divisors (see below), whose sum is σ = 1207759840. Its totient is φ = 117365760.

The previous prime is 381461177. The next prime is 381461237. The reversal of 381461184 is 481164183.

It is a happy number.

381461184 is a `hidden beast` number, since 38 + 1 + 4 + 611 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13974 + ... + 30954.

It is an arithmetic number, because the mean of its divisors is an integer number (10783570).

Almost surely, 2^381461184 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 381461184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603879920).

381461184 is an abundant number, since it is smaller than the sum of its proper divisors (826298656).

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

381461184 is a wasteful number, since it uses less digits than its factorization.

381461184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17015 (or 16999 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 381461184 is about 19531.0313091757. The cubic root of 381461184 is about 725.2428415198.

The spelling of 381461184 in words is "three hundred eighty-one million, four hundred sixty-one thousand, one hundred eighty-four".