14400000 has 180 divisors, whose sum is σ = 51945894. Its totient is φ = 3840000.

The previous prime is 14399999. The next prime is 14400011. The reversal of 14400000 is 441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 20736 + 14379264 = 144^2 + 3792^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 16.

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, 2879998 + ... + 2880002.

Almost surely, 2^14400000 is an apocalyptic number.

14400000 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 14400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25972947).

14400000 is an abundant number, since it is smaller than the sum of its proper divisors (37545894).

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

14400000 is an frugal number, since it uses more digits than its factorization.

14400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 14400000 is about 3794.7331922021. The cubic root of 14400000 is about 243.2880798229.

Adding to 14400000 its reverse (441), we get a palindrome (14400441).

The spelling of 14400000 in words is "fourteen million, four hundred thousand".