381300990 has 192 divisors, whose sum is σ = 1155907584. Its totient is φ = 78575616.

The previous prime is 381300979. The next prime is 381300991. The reversal of 381300990 is 99003183.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381300991) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3002307 + ... + 3002433.

It is an arithmetic number, because the mean of its divisors is an integer number (6020352).

Almost surely, 2^381300990 is an apocalyptic number.

381300990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381300990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577953792).

381300990 is an abundant number, since it is smaller than the sum of its proper divisors (774606594).

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

381300990 is a wasteful number, since it uses less digits than its factorization.

381300990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 381300990 is about 19526.9298662130. The cubic root of 381300990 is about 725.1413057904.

The spelling of 381300990 in words is "three hundred eighty-one million, three hundred thousand, nine hundred ninety".