14448960 has 168 divisors, whose sum is σ = 51709320. Its totient is φ = 3698688.

The previous prime is 14448953. The next prime is 14449013. The reversal of 14448960 is 6984441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 10188864 = 2064^2 + 3192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 83434 + ... + 83606.

Almost surely, 2^14448960 is an apocalyptic number.

14448960 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 14448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25854660).

14448960 is an abundant number, since it is smaller than the sum of its proper divisors (37260360).

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

14448960 is a wasteful number, since it uses less digits than its factorization.

14448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14448960 is about 3801.1787645413. The cubic root of 14448960 is about 243.5634944123.

It can be divided in two parts, 1444 and 8960, that added together give a square (10404 = 102²).

The spelling of 14448960 in words is "fourteen million, four hundred forty-eight thousand, nine hundred sixty".