114024456 has 128 divisors (see below), whose sum is σ = 389894400. Its totient is φ = 30067200.

The previous prime is 114024451. The next prime is 114024481. The reversal of 114024456 is 654420411.

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 (114024451) 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 31 ways as a sum of consecutive naturals, for example, 16756 + ... + 22556.

It is an arithmetic number, because the mean of its divisors is an integer number (3046050).

Almost surely, 2^114024456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114024456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194947200).

114024456 is an abundant number, since it is smaller than the sum of its proper divisors (275869944).

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

114024456 is a wasteful number, since it uses less digits than its factorization.

114024456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 114024456 is about 10678.2234477464. The cubic root of 114024456 is about 484.9154293324.

Adding to 114024456 its reverse (654420411), we get a palindrome (768444867).

The spelling of 114024456 in words is "one hundred fourteen million, twenty-four thousand, four hundred fifty-six".