381152 has 24 divisors (see below), whose sum is σ = 770616. Its totient is φ = 185472.

The previous prime is 381103. The next prime is 381167. The reversal of 381152 is 251183.

381152 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 381152.

It is an unprimeable number.

381152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1238 + ... + 1514.

It is an arithmetic number, because the mean of its divisors is an integer number (32109).

2³⁸¹¹⁵² is an apocalyptic number.

381152 is a gapful number since it is divisible by the number (32) 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 381152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385308).

381152 is an abundant number, since it is smaller than the sum of its proper divisors (389464).

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

381152 is a wasteful number, since it uses less digits than its factorization.

381152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 381152 is about 617.3750885807. The cubic root of 381152 is about 72.5046845962.

The spelling of 381152 in words is "three hundred eighty-one thousand, one hundred fifty-two".