14006400 has 96 divisors (see below), whose sum is σ = 46165200. Its totient is φ = 3732480.

The previous prime is 14006381. The next prime is 14006411. The reversal of 14006400 is 460041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14006400.

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, 8871 + ... + 10329.

Almost surely, 2^14006400 is an apocalyptic number.

14006400 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 14006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23082600).

14006400 is an abundant number, since it is smaller than the sum of its proper divisors (32158800).

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

14006400 is a wasteful number, since it uses less digits than its factorization.

14006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14006400 is about 3742.5125250291. The cubic root of 14006400 is about 241.0509468000.

Adding to 14006400 its reverse (460041), we get a palindrome (14466441).

The spelling of 14006400 in words is "fourteen million, six thousand, four hundred".