114472800 has 216 divisors, whose sum is σ = 435065904. Its totient is φ = 28154880.

The previous prime is 114472769. The next prime is 114472807. The reversal of 114472800 is 8274411.

114472800 is a `hidden beast` number, since 114 + 472 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114472807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92989 + ... + 94211.

It is an arithmetic number, because the mean of its divisors is an integer number (2014194).

Almost surely, 2^114472800 is an apocalyptic number.

114472800 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 114472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217532952).

114472800 is an abundant number, since it is smaller than the sum of its proper divisors (320593104).

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

114472800 is a wasteful number, since it uses less digits than its factorization.

114472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1246 counting only the distinct ones).

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

The square root of 114472800 is about 10699.1962314933. The cubic root of 114472800 is about 485.5501603985.

The spelling of 114472800 in words is "one hundred fourteen million, four hundred seventy-two thousand, eight hundred".