114452800 has 168 divisors, whose sum is σ = 351495360. Its totient is φ = 35635200.

The previous prime is 114452777. The next prime is 114452809. The reversal of 114452800 is 8254411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114452809) 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 23 ways as a sum of consecutive naturals, for example, 122736 + ... + 123664.

Almost surely, 2^114452800 is an apocalyptic number.

114452800 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 114452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175747680).

114452800 is an abundant number, since it is smaller than the sum of its proper divisors (237042560).

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

114452800 is a wasteful number, since it uses less digits than its factorization.

114452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 114452800 is about 10698.2615410168. The cubic root of 114452800 is about 485.5218812824.

The spelling of 114452800 in words is "one hundred fourteen million, four hundred fifty-two thousand, eight hundred".