14399200 has 72 divisors (see below), whose sum is σ = 36091440. Its totient is φ = 5606400.

The previous prime is 14399191. The next prime is 14399213. The reversal of 14399200 is 299341.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 32581 + ... + 33019.

It is an arithmetic number, because the mean of its divisors is an integer number (501270).

Almost surely, 2^14399200 is an apocalyptic number.

14399200 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 14399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18045720).

14399200 is an abundant number, since it is smaller than the sum of its proper divisors (21692240).

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

14399200 is a wasteful number, since it uses less digits than its factorization.

14399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 14399200 is about 3794.6277814827. The cubic root of 14399200 is about 243.2835744047.

The spelling of 14399200 in words is "fourteen million, three hundred ninety-nine thousand, two hundred".