384660444100 has 81 divisors (see below), whose sum is σ = 843924505557. Its totient is φ = 152184648960.

The previous prime is 384660444083. The next prime is 384660444187. The reversal of 384660444100 is 1444066483.

The square root of 384660444100 is 620210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 303065664196 + 81594779904 = 550514^2 + 285648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 676028616 + ... + 676029184.

Almost surely, 2^384660444100 is an apocalyptic number.

384660444100 is the 620210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384660444100

384660444100 is an abundant number, since it is smaller than the sum of its proper divisors (459264061457).

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

384660444100 is an equidigital number, since it uses as much as digits as its factorization.

384660444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 384660444100 in words is "three hundred eighty-four billion, six hundred sixty million, four hundred forty-four thousand, one hundred".