14250800 has 60 divisors (see below), whose sum is σ = 35749200. Its totient is φ = 5448960.

The previous prime is 14250791. The next prime is 14250829. The reversal of 14250800 is 805241.

14250800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a congruent number.

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, 8426 + ... + 9974.

It is an arithmetic number, because the mean of its divisors is an integer number (595820).

Almost surely, 2^14250800 is an apocalyptic number.

14250800 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 14250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17874600).

14250800 is an abundant number, since it is smaller than the sum of its proper divisors (21498400).

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

14250800 is a wasteful number, since it uses less digits than its factorization.

14250800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 14250800 is about 3775.0231787368. The cubic root of 14250800 is about 242.4449161031. Note that the first 3 decimals are identical.

The spelling of 14250800 in words is "fourteen million, two hundred fifty thousand, eight hundred".