14745200 has 60 divisors (see below), whose sum is σ = 35795328. Its totient is φ = 5836800.

The previous prime is 14745187. The next prime is 14745223. The reversal of 14745200 is 254741.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76304 + ... + 76496.

Almost surely, 2^14745200 is an apocalyptic number.

14745200 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 14745200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17897664).

14745200 is an abundant number, since it is smaller than the sum of its proper divisors (21050128).

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

14745200 is a wasteful number, since it uses less digits than its factorization.

14745200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 14745200 is about 3839.9479163134. The cubic root of 14745200 is about 245.2168010154.

Adding to 14745200 its reverse (254741), we get a palindrome (14999941).

The spelling of 14745200 in words is "fourteen million, seven hundred forty-five thousand, two hundred".