14488320 has 288 divisors, whose sum is σ = 58867200. Its totient is φ = 3010560.

The previous prime is 14488319. The next prime is 14488333. The reversal of 14488320 is 2388441.

It is a super-2 number, since 2×14488320² = 419822832844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317115 + ... + 1317125.

It is an arithmetic number, because the mean of its divisors is an integer number (204400).

Almost surely, 2^14488320 is an apocalyptic number.

14488320 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 14488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29433600).

14488320 is an abundant number, since it is smaller than the sum of its proper divisors (44378880).

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

14488320 is an equidigital number, since it uses as much as digits as its factorization.

14488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 14488320 is about 3806.3525848245. The cubic root of 14488320 is about 243.7844553529.

The spelling of 14488320 in words is "fourteen million, four hundred eighty-eight thousand, three hundred twenty".