114847200 has 288 divisors, whose sum is σ = 448408800. Its totient is φ = 28200960.

The previous prime is 114847199. The next prime is 114847207. The reversal of 114847200 is 2748411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114847207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280596 + ... + 281004.

It is an arithmetic number, because the mean of its divisors is an integer number (1556975).

Almost surely, 2^114847200 is an apocalyptic number.

114847200 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 114847200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224204400).

114847200 is an abundant number, since it is smaller than the sum of its proper divisors (333561600).

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

114847200 is a wasteful number, since it uses less digits than its factorization.

114847200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114847200 is about 10716.6785899363. The cubic root of 114847200 is about 486.0789385571.

The spelling of 114847200 in words is "one hundred fourteen million, eight hundred forty-seven thousand, two hundred".