14444800 has 108 divisors (see below), whose sum is σ = 37321396. Its totient is φ = 5529600.

The previous prime is 14444797. The next prime is 14444803. The reversal of 14444800 is 844441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14444797) and next prime (14444803).

It can be written as a sum of positive squares in 6 ways, for example, as 665856 + 13778944 = 816^2 + 3712^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236770 + ... + 236830.

Almost surely, 2^14444800 is an apocalyptic number.

14444800 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 14444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18660698).

14444800 is an abundant number, since it is smaller than the sum of its proper divisors (22876596).

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

14444800 is an equidigital number, since it uses as much as digits as its factorization.

14444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 14444800 is about 3800.6315264703. The cubic root of 14444800 is about 243.5401173805.

It can be divided in two parts, 144 and 44800, that added together give a palindrome (44944).

The spelling of 14444800 in words is "fourteen million, four hundred forty-four thousand, eight hundred".