114436800 has 210 divisors, whose sum is σ = 421117268. Its totient is φ = 30481920.

The previous prime is 114436789. The next prime is 114436807. The reversal of 114436800 is 8634411.

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

It is not an unprimeable number, because it can be changed into a prime (114436807) 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 29 ways as a sum of consecutive naturals, for example, 129159 + ... + 130041.

Almost surely, 2^114436800 is an apocalyptic number.

114436800 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 114436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210558634).

114436800 is an abundant number, since it is smaller than the sum of its proper divisors (306680468).

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

114436800 is an equidigital number, since it uses as much as digits as its factorization.

114436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114436800 is about 10697.5137298346. The cubic root of 114436800 is about 485.4992556174.

The spelling of 114436800 in words is "one hundred fourteen million, four hundred thirty-six thousand, eight hundred".