114456240 has 200 divisors, whose sum is σ = 421312320. Its totient is φ = 28698624.

The previous prime is 114456229. The next prime is 114456269. The reversal of 114456240 is 42654411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109641 + ... + 110679.

Almost surely, 2^114456240 is an apocalyptic number.

114456240 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 114456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210656160).

114456240 is an abundant number, since it is smaller than the sum of its proper divisors (306856080).

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

114456240 is a wasteful number, since it uses less digits than its factorization.

114456240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1066 counting only the distinct ones).

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

The square root of 114456240 is about 10698.4223135937. The cubic root of 114456240 is about 485.5267455249.

The spelling of 114456240 in words is "one hundred fourteen million, four hundred fifty-six thousand, two hundred forty".