14388400 has 60 divisors (see below), whose sum is σ = 37240672. Its totient is φ = 5310720.

The previous prime is 14388391. The next prime is 14388419. The reversal of 14388400 is 488341.

14388400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3817 + ... + 6583.

Almost surely, 2^14388400 is an apocalyptic number.

14388400 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 14388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18620336).

14388400 is an abundant number, since it is smaller than the sum of its proper divisors (22852272).

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

14388400 is a wasteful number, since it uses less digits than its factorization.

14388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 14388400 is about 3793.2044500659. The cubic root of 14388400 is about 243.2227349187. Note that the first 3 decimals are identical.

The spelling of 14388400 in words is "fourteen million, three hundred eighty-eight thousand, four hundred".