114033400 has 96 divisors (see below), whose sum is σ = 290606400. Its totient is φ = 41356800.

The previous prime is 114033349. The next prime is 114033401. The reversal of 114033400 is 4330411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114033401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158241 + ... + 158959.

It is an arithmetic number, because the mean of its divisors is an integer number (3027150).

Almost surely, 2^114033400 is an apocalyptic number.

114033400 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 114033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145303200).

114033400 is an abundant number, since it is smaller than the sum of its proper divisors (176573000).

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

114033400 is a wasteful number, since it uses less digits than its factorization.

114033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 114033400 is about 10678.6422357901. The cubic root of 114033400 is about 484.9281078120.

Adding to 114033400 its reverse (4330411), we get a palindrome (118363811).

The spelling of 114033400 in words is "one hundred fourteen million, thirty-three thousand, four hundred".