14448400 has 60 divisors (see below), whose sum is σ = 35599284. Its totient is φ = 5632000.

The previous prime is 14448397. The next prime is 14448403. The reversal of 14448400 is 484441.

It is a happy number.

14448400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14448397) and next prime (14448403).

It can be written as a sum of positive squares in 6 ways, for example, as 4613904 + 9834496 = 2148^2 + 3136^2 .

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14448403) 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, 15960 + ... + 16840.

Almost surely, 2^14448400 is an apocalyptic number.

14448400 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 14448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17799642).

14448400 is an abundant number, since it is smaller than the sum of its proper divisors (21150884).

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

14448400 is a wasteful number, since it uses less digits than its factorization.

14448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 929 counting only the distinct ones).

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

The square root of 14448400 is about 3801.1051024669. The cubic root of 14448400 is about 243.5603477656.

It can be divided in two parts, 144 and 48400, that multiplied together give a square (6969600 = 2640²).

The spelling of 14448400 in words is "fourteen million, four hundred forty-eight thousand, four hundred".