14274800 has 60 divisors (see below), whose sum is σ = 34688256. Its totient is φ = 5644800.

The previous prime is 14274797. The next prime is 14274809. The reversal of 14274800 is 847241.

14274800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14274800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14274809) 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, 50660 + ... + 50940.

Almost surely, 2^14274800 is an apocalyptic number.

14274800 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 14274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17344128).

14274800 is an abundant number, since it is smaller than the sum of its proper divisors (20413456).

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

14274800 is a wasteful number, since it uses less digits than its factorization.

14274800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 14274800 is about 3778.2006299295. The cubic root of 14274800 is about 242.5809415565.

The spelling of 14274800 in words is "fourteen million, two hundred seventy-four thousand, eight hundred".