14386400 has 108 divisors (see below), whose sum is σ = 40966128. Its totient is φ = 4919040.

The previous prime is 14386391. The next prime is 14386417. The reversal of 14386400 is 468341.

It is a self number, because there is not a number n which added to its sum of digits gives 14386400.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 39017 + ... + 39383.

It is an arithmetic number, because the mean of its divisors is an integer number (379316).

Almost surely, 2^14386400 is an apocalyptic number.

14386400 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 14386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20483064).

14386400 is an abundant number, since it is smaller than the sum of its proper divisors (26579728).

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

14386400 is a wasteful number, since it uses less digits than its factorization.

14386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 14386400 is about 3792.9408115603. The cubic root of 14386400 is about 243.2114650066.

The spelling of 14386400 in words is "fourteen million, three hundred eighty-six thousand, four hundred".