381858200 has 72 divisors (see below), whose sum is σ = 937505100. Its totient is φ = 144247680.

The previous prime is 381858193. The next prime is 381858223. The reversal of 381858200 is 2858183.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 1204442 + ... + 1204758.

Almost surely, 2^381858200 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 381858200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468752550).

381858200 is an abundant number, since it is smaller than the sum of its proper divisors (555646900).

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

381858200 is a wasteful number, since it uses less digits than its factorization.

381858200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 381858200 is about 19541.1923894117. The cubic root of 381858200 is about 725.4943596213.

The spelling of 381858200 in words is "three hundred eighty-one million, eight hundred fifty-eight thousand, two hundred".