381658900 has 72 divisors (see below), whose sum is σ = 958063680. Its totient is φ = 129258240.

The previous prime is 381658877. The next prime is 381658913. The reversal of 381658900 is 9856183.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54816 + ... + 61384.

It is an arithmetic number, because the mean of its divisors is an integer number (13306440).

Almost surely, 2^381658900 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 381658900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479031840).

381658900 is an abundant number, since it is smaller than the sum of its proper divisors (576404780).

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

381658900 is a wasteful number, since it uses less digits than its factorization.

381658900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6673 (or 6666 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 381658900 is about 19536.0922397495. The cubic root of 381658900 is about 725.3681206245.

The spelling of 381658900 in words is "three hundred eighty-one million, six hundred fifty-eight thousand, nine hundred".