381901000 has 128 divisors (see below), whose sum is σ = 996559200. Its totient is φ = 136012800.

The previous prime is 381900983. The next prime is 381901043. The reversal of 381901000 is 109183.

It can be written as a sum of positive squares in 16 ways, for example, as 183710916 + 198190084 = 13554^2 + 14078^2 .

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 31 ways as a sum of consecutive naturals, for example, 376494 + ... + 377506.

Almost surely, 2^381901000 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 381901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498279600).

381901000 is an abundant number, since it is smaller than the sum of its proper divisors (614658200).

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

381901000 is a wasteful number, since it uses less digits than its factorization.

381901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 381901000 is about 19542.2874812546. The cubic root of 381901000 is about 725.5214639221.

The spelling of 381901000 in words is "three hundred eighty-one million, nine hundred one thousand".