381333920 has 72 divisors (see below), whose sum is σ = 990297252. Its totient is φ = 138659840.

The previous prime is 381333881. The next prime is 381333929. The reversal of 381333920 is 29333183.

It can be written as a sum of positive squares in 2 ways, for example, as 352988944 + 28344976 = 18788^2 + 5324^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (381333929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9512 + ... + 29208.

Almost surely, 2^381333920 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 381333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495148626).

381333920 is an abundant number, since it is smaller than the sum of its proper divisors (608963332).

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

381333920 is a wasteful number, since it uses less digits than its factorization.

381333920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19734 (or 19715 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 381333920 is about 19527.7730425156. The cubic root of 381333920 is about 725.1621801272.

The spelling of 381333920 in words is "three hundred eighty-one million, three hundred thirty-three thousand, nine hundred twenty".