381300820 has 72 divisors (see below), whose sum is σ = 871892280. Its totient is φ = 139960320.

The previous prime is 381300817. The next prime is 381300833. The reversal of 381300820 is 28003183.

It can be written as a sum of positive squares in 12 ways, for example, as 6646084 + 374654736 = 2578^2 + 19356^2 .

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 23 ways as a sum of consecutive naturals, for example, 236176 + ... + 237784.

It is an arithmetic number, because the mean of its divisors is an integer number (12109615).

Almost surely, 2^381300820 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 381300820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435946140).

381300820 is an abundant number, since it is smaller than the sum of its proper divisors (490591460).

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

381300820 is a wasteful number, since it uses less digits than its factorization.

381300820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 381300820 is about 19526.9255132496. The cubic root of 381300820 is about 725.1411980242.

The spelling of 381300820 in words is "three hundred eighty-one million, three hundred thousand, eight hundred twenty".