4608384 has 64 divisors (see below), whose sum is σ = 13366080. Its totient is φ = 1395200.

The previous prime is 4608379. The next prime is 4608389. The reversal of 4608384 is 4838064.

It is an interprime number because it is at equal distance from previous prime (4608379) and next prime (4608389).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4608389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3679 + ... + 4769.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^4608384 is an apocalyptic number.

4608384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040).

4608384 is an abundant number, since it is smaller than the sum of its proper divisors (8757696).

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

4608384 is a wasteful number, since it uses less digits than its factorization.

4608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4608384 is about 2146.7146992556. The cubic root of 4608384 is about 166.4113281243.

The spelling of 4608384 in words is "four million, six hundred eight thousand, three hundred eighty-four".