13944400 has 60 divisors (see below), whose sum is σ = 34042464. Its totient is φ = 5488000.

The previous prime is 13944379. The next prime is 13944401. The reversal of 13944400 is 444931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13944401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28155 + ... + 28645.

Almost surely, 2^13944400 is an apocalyptic number.

13944400 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 13944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17021232).

13944400 is an abundant number, since it is smaller than the sum of its proper divisors (20098064).

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

13944400 is a wasteful number, since it uses less digits than its factorization.

13944400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 13944400 is about 3734.2201327720. The cubic root of 13944400 is about 240.6947461842.

The spelling of 13944400 in words is "thirteen million, nine hundred forty-four thousand, four hundred".