14054400 has 198 divisors, whose sum is σ = 51146342. Its totient is φ = 3686400.

The previous prime is 14054399. The next prime is 14054407. The reversal of 14054400 is 445041.

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 14017536 = 192^2 + 3744^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14054407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230370 + ... + 230430.

Almost surely, 2^14054400 is an apocalyptic number.

14054400 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 14054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25573171).

14054400 is an abundant number, since it is smaller than the sum of its proper divisors (37091942).

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

14054400 is a wasteful number, since it uses less digits than its factorization.

14054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 14054400 is about 3748.9198444352. The cubic root of 14054400 is about 241.3259937601.

Adding to 14054400 its reverse (445041), we get a palindrome (14499441).

The spelling of 14054400 in words is "fourteen million, fifty-four thousand, four hundred".