14440400 has 60 divisors (see below), whose sum is σ = 37375212. Its totient is φ = 5329920.

The previous prime is 14440381. The next prime is 14440409. The reversal of 14440400 is 404441.

It can be written as a sum of positive squares in 6 ways, for example, as 3655744 + 10784656 = 1912^2 + 3284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14440409) by changing a digit.

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, 3812 + ... + 6588.

Almost surely, 2^14440400 is an apocalyptic number.

14440400 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 14440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687606).

14440400 is an abundant number, since it is smaller than the sum of its proper divisors (22934812).

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

14440400 is a wasteful number, since it uses less digits than its factorization.

14440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 14440400 is about 3800.0526312145. The cubic root of 14440400 is about 243.5153867892.

Adding to 14440400 its reverse (404441), we get a palindrome (14844841).

The spelling of 14440400 in words is "fourteen million, four hundred forty thousand, four hundred".