14242400 has 72 divisors (see below), whose sum is σ = 36638280. Its totient is φ = 5391360.

The previous prime is 14242399. The next prime is 14242409. The reversal of 14242400 is 424241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14242409) 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, 14732 + ... + 15668.

It is an arithmetic number, because the mean of its divisors is an integer number (508865).

Almost surely, 2^14242400 is an apocalyptic number.

14242400 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 14242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18319140).

14242400 is an abundant number, since it is smaller than the sum of its proper divisors (22395880).

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

14242400 is a wasteful number, since it uses less digits than its factorization.

14242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 14242400 is about 3773.9104387889. The cubic root of 14242400 is about 242.3972711155.

Adding to 14242400 its reverse (424241), we get a palindrome (14666641).

The spelling of 14242400 in words is "fourteen million, two hundred forty-two thousand, four hundred".