384459522304 has 243 divisors, whose sum is σ = 916785461277. Its totient is φ = 160716441600.

The previous prime is 384459522301. The next prime is 384459522311. The reversal of 384459522304 is 403225954483.

The square root of 384459522304 is 620048.

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

It can be written as a sum of positive squares in only one way, i.e., 56872710400 + 327586811904 = 238480^2 + 572352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (384459522301) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1418669689 + ... + 1418669959.

Almost surely, 2^384459522304 is an apocalyptic number.

384459522304 is the 620048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384459522304

384459522304 is an abundant number, since it is smaller than the sum of its proper divisors (532325938973).

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

384459522304 is an equidigital number, since it uses as much as digits as its factorization.

384459522304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 49.

Multiplying 384459522304 by its sum of digits (49), we get a square (18838516592896 = 4340336²).

The spelling of 384459522304 in words is "three hundred eighty-four billion, four hundred fifty-nine million, five hundred twenty-two thousand, three hundred four".