14408384 has 84 divisors (see below), whose sum is σ = 32750760. Its totient is φ = 6266880.

The previous prime is 14408377. The next prime is 14408393. The reversal of 14408384 is 48380441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14408384.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 351404 + ... + 351444.

It is an arithmetic number, because the mean of its divisors is an integer number (389890).

Almost surely, 2^14408384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375380).

14408384 is an abundant number, since it is smaller than the sum of its proper divisors (18342376).

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

14408384 is a wasteful number, since it uses less digits than its factorization.

14408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 14408384 is about 3795.8377204512. The cubic root of 14408384 is about 243.3352865713.

The spelling of 14408384 in words is "fourteen million, four hundred eight thousand, three hundred eighty-four".