14424320 has 72 divisors (see below), whose sum is σ = 35320320. Its totient is φ = 5642240.

The previous prime is 14424317. The next prime is 14424329. The reversal of 14424320 is 2342441.

It is a super-2 number, since 2×14424320² = 416122014924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14424292 and 14424301.

It is not an unprimeable number, because it can be changed into a prime (14424329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75425 + ... + 75615.

It is an arithmetic number, because the mean of its divisors is an integer number (490560).

Almost surely, 2^14424320 is an apocalyptic number.

14424320 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 14424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).

14424320 is an abundant number, since it is smaller than the sum of its proper divisors (20896000).

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

14424320 is an equidigital number, since it uses as much as digits as its factorization.

14424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 14424320 is about 3797.9362817193. The cubic root of 14424320 is about 243.4249649688.

Adding to 14424320 its reverse (2342441), we get a palindrome (16766761).

The spelling of 14424320 in words is "fourteen million, four hundred twenty-four thousand, three hundred twenty".