14400800 has 72 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 5623040.

The previous prime is 14400797. The next prime is 14400811. The reversal of 14400800 is 800441.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 37409 + ... + 37791.

It is an arithmetic number, because the mean of its divisors is an integer number (499968).

Almost surely, 2^14400800 is an apocalyptic number.

14400800 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 14400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

14400800 is an abundant number, since it is smaller than the sum of its proper divisors (21596896).

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

14400800 is a wasteful number, since it uses less digits than its factorization.

14400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 14400800 is about 3794.8385999934. The cubic root of 14400800 is about 243.2925850743.

The spelling of 14400800 in words is "fourteen million, four hundred thousand, eight hundred".