14500800 has 252 divisors, whose sum is σ = 55275480. Its totient is φ = 3594240.

The previous prime is 14500799. The next prime is 14500807. The reversal of 14500800 is 800541.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14500807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273574 + ... + 273626.

Almost surely, 2^14500800 is an apocalyptic number.

14500800 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 14500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637740).

14500800 is an abundant number, since it is smaller than the sum of its proper divisors (40774680).

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

14500800 is a wasteful number, since it uses less digits than its factorization.

14500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 14500800 is about 3807.9915966294. The cubic root of 14500800 is about 243.8544325679.

The spelling of 14500800 in words is "fourteen million, five hundred thousand, eight hundred".