14344400 has 120 divisors (see below), whose sum is σ = 40592640. Its totient is φ = 4769280.

The previous prime is 14344381. The next prime is 14344403. The reversal of 14344400 is 444341.

It is a super-2 number, since 2×14344400² = 411523622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 131546 + ... + 131654.

It is an arithmetic number, because the mean of its divisors is an integer number (338272).

Almost surely, 2^14344400 is an apocalyptic number.

14344400 is a gapful number since it is divisible by the number (10) 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 14344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296320).

14344400 is an abundant number, since it is smaller than the sum of its proper divisors (26248240).

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

14344400 is a wasteful number, since it uses less digits than its factorization.

14344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 14344400 is about 3787.4001637007. The cubic root of 14344400 is about 242.9745551888.

Adding to 14344400 its reverse (444341), we get a palindrome (14788741).

The spelling of 14344400 in words is "fourteen million, three hundred forty-four thousand, four hundred".