4471864384 has 63 divisors (see below), whose sum is σ = 9623935413. Its totient is φ = 2060727552.

The previous prime is 4471864381. The next prime is 4471864417. The reversal of 4471864384 is 4834681744.

The square root of 4471864384 is 66872.

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., 661518400 + 3810345984 = 25720^2 + 61728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4471864381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6954367 + ... + 6955009.

Almost surely, 2^4471864384 is an apocalyptic number.

4471864384 is the 66872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4471864384

4471864384 is an abundant number, since it is smaller than the sum of its proper divisors (5152071029).

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

4471864384 is an frugal number, since it uses more digits than its factorization.

4471864384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 658 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 49.

The cubic root of 4471864384 is about 1647.5156225631.

Multiplying 4471864384 by its sum of digits (49), we get a square (219121354816 = 468104²).

The spelling of 4471864384 in words is "four billion, four hundred seventy-one million, eight hundred sixty-four thousand, three hundred eighty-four".