114403200 has 192 divisors, whose sum is σ = 399550320. Its totient is φ = 28672000.

The previous prime is 114403189. The next prime is 114403207. The reversal of 114403200 is 2304411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114403200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114403207) 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, 162850 + ... + 163550.

Almost surely, 2^114403200 is an apocalyptic number.

114403200 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 114403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199775160).

114403200 is an abundant number, since it is smaller than the sum of its proper divisors (285147120).

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

114403200 is a wasteful number, since it uses less digits than its factorization.

114403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 114403200 is about 10695.9431561691. The cubic root of 114403200 is about 485.4517348555.

Adding to 114403200 its reverse (2304411), we get a palindrome (116707611).

The spelling of 114403200 in words is "one hundred fourteen million, four hundred three thousand, two hundred".