4164384 has 48 divisors (see below), whose sum is σ = 12495168. Its totient is φ = 1189632.

The previous prime is 4164379. The next prime is 4164427. The reversal of 4164384 is 4834614.

4164384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2427 + ... + 3770.

It is an arithmetic number, because the mean of its divisors is an integer number (260316).

Almost surely, 2^4164384 is an apocalyptic number.

It is an amenable number.

4164384 is an abundant number, since it is smaller than the sum of its proper divisors (8330784).

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

4164384 is a wasteful number, since it uses less digits than its factorization.

4164384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6209 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4164384 is about 2040.6822388603. The cubic root of 4164384 is about 160.8855068607.

Adding to 4164384 its reverse (4834614), we get a palindrome (8998998).

The spelling of 4164384 in words is "four million, one hundred sixty-four thousand, three hundred eighty-four".