114850440 has 256 divisors, whose sum is σ = 419040000. Its totient is φ = 27869184.

The previous prime is 114850427. The next prime is 114850447. The reversal of 114850440 is 44058411.

It is a happy number.

114850440 is a `hidden beast` number, since 114 + 8 + 504 + 40 = 666.

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 (114850447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 594984 + ... + 595176.

It is an arithmetic number, because the mean of its divisors is an integer number (1636875).

Almost surely, 2^114850440 is an apocalyptic number.

114850440 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 114850440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209520000).

114850440 is an abundant number, since it is smaller than the sum of its proper divisors (304189560).

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

114850440 is a wasteful number, since it uses less digits than its factorization.

114850440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 114850440 is about 10716.8297551095. The cubic root of 114850440 is about 486.0835095028.

The spelling of 114850440 in words is "one hundred fourteen million, eight hundred fifty thousand, four hundred forty".