14455200 has 144 divisors (see below), whose sum is σ = 49684320. Its totient is φ = 3640320.

The previous prime is 14455193. The next prime is 14455211. The reversal of 14455200 is 255441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45442 + ... + 45758.

It is an arithmetic number, because the mean of its divisors is an integer number (345030).

Almost surely, 2^14455200 is an apocalyptic number.

14455200 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 14455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24842160).

14455200 is an abundant number, since it is smaller than the sum of its proper divisors (35229120).

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

14455200 is a wasteful number, since it uses less digits than its factorization.

14455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 14455200 is about 3801.9994739610. Note that the first 3 decimals coincide. The cubic root of 14455200 is about 243.5985515484.

The spelling of 14455200 in words is "fourteen million, four hundred fifty-five thousand, two hundred".