114256440 has 128 divisors (see below), whose sum is σ = 386784000. Its totient is φ = 29994624.

The previous prime is 114256427. The next prime is 114256469. The reversal of 114256440 is 44652411.

114256440 is a `hidden beast` number, since 1 + 14 + 2 + 5 + 644 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71571 + ... + 73149.

It is an arithmetic number, because the mean of its divisors is an integer number (3021750).

Almost surely, 2^114256440 is an apocalyptic number.

114256440 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 114256440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193392000).

114256440 is an abundant number, since it is smaller than the sum of its proper divisors (272527560).

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

114256440 is a wasteful number, since it uses less digits than its factorization.

114256440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1656 counting only the distinct ones).

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

The square root of 114256440 is about 10689.0804094646. The cubic root of 114256440 is about 485.2440618085.

The spelling of 114256440 in words is "one hundred fourteen million, two hundred fifty-six thousand, four hundred forty".