14538800 has 60 divisors (see below), whose sum is σ = 36787080. Its totient is φ = 5506560.

The previous prime is 14538793. The next prime is 14538803. The reversal of 14538800 is 883541.

14538800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14538800² = 422753410880000, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14538803) 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, 6644 + ... + 8556.

It is an arithmetic number, because the mean of its divisors is an integer number (613118).

Almost surely, 2^14538800 is an apocalyptic number.

14538800 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 14538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18393540).

14538800 is an abundant number, since it is smaller than the sum of its proper divisors (22248280).

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

14538800 is a wasteful number, since it uses less digits than its factorization.

14538800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 14538800 is about 3812.9778389075. The cubic root of 14538800 is about 244.0672572811.

The spelling of 14538800 in words is "fourteen million, five hundred thirty-eight thousand, eight hundred".