14424800 has 144 divisors (see below), whose sum is σ = 40466160. Its totient is φ = 4976640.

The previous prime is 14424757. The next prime is 14424811. The reversal of 14424800 is 842441.

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, 197564 + ... + 197636.

It is an arithmetic number, because the mean of its divisors is an integer number (281015).

Almost surely, 2^14424800 is an apocalyptic number.

14424800 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 14424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20233080).

14424800 is an abundant number, since it is smaller than the sum of its proper divisors (26041360).

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

14424800 is a wasteful number, since it uses less digits than its factorization.

14424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 14424800 is about 3797.9994734070. Note that the first 3 decimals coincide. The cubic root of 14424800 is about 243.4276651004.

The spelling of 14424800 in words is "fourteen million, four hundred twenty-four thousand, eight hundred".