14406384 has 40 divisors (see below), whose sum is σ = 37854720. Its totient is φ = 4719808.

The previous prime is 14406383. The next prime is 14406409. The reversal of 14406384 is 48360441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14406383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289 + ... + 5375.

It is an arithmetic number, because the mean of its divisors is an integer number (946368).

Almost surely, 2^14406384 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 14406384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18927360).

14406384 is an abundant number, since it is smaller than the sum of its proper divisors (23448336).

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

14406384 is a wasteful number, since it uses less digits than its factorization.

14406384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5151 counting only the distinct ones).

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

The square root of 14406384 is about 3795.5742648511. The cubic root of 14406384 is about 243.3240270830.

It can be divided in two parts, 14406 and 384, that multiplied together give a square (5531904 = 2352²).

The spelling of 14406384 in words is "fourteen million, four hundred six thousand, three hundred eighty-four".