14400320 has 56 divisors (see below), whose sum is σ = 37417248. Its totient is φ = 5235200.

The previous prime is 14400301. The next prime is 14400341. The reversal of 14400320 is 2300441.

It is a super-2 number, since 2×14400320² = 414738432204800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14400295 and 14400304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1475 + ... + 5565.

Almost surely, 2^14400320 is an apocalyptic number.

14400320 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 14400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18708624).

14400320 is an abundant number, since it is smaller than the sum of its proper divisors (23016928).

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

14400320 is a wasteful number, since it uses less digits than its factorization.

14400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 14400320 is about 3794.7753556700. The cubic root of 14400320 is about 243.2898819435.

Adding to 14400320 its reverse (2300441), we get a palindrome (16700761).

The spelling of 14400320 in words is "fourteen million, four hundred thousand, three hundred twenty".