14424000 has 112 divisors (see below), whose sum is σ = 47707296. Its totient is φ = 3840000.

The previous prime is 14423993. The next prime is 14424001. The reversal of 14424000 is 42441.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14424001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23700 + ... + 24300.

It is an arithmetic number, because the mean of its divisors is an integer number (425958).

Almost surely, 2^14424000 is an apocalyptic number.

14424000 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 14424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23853648).

14424000 is an abundant number, since it is smaller than the sum of its proper divisors (33283296).

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

14424000 is an equidigital number, since it uses as much as digits as its factorization.

14424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 14424000 is about 3797.8941533434. The cubic root of 14424000 is about 243.4231648478.

Adding to 14424000 its reverse (42441), we get a palindrome (14466441).

The spelling of 14424000 in words is "fourteen million, four hundred twenty-four thousand".