114471840 has 288 divisors, whose sum is σ = 435746304. Its totient is φ = 25159680.

The previous prime is 114471757. The next prime is 114471853. The reversal of 114471840 is 48174411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114471798 and 114471807.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 729042 + ... + 729198.

It is an arithmetic number, because the mean of its divisors is an integer number (1513008).

Almost surely, 2^114471840 is an apocalyptic number.

114471840 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 114471840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217873152).

114471840 is an abundant number, since it is smaller than the sum of its proper divisors (321274464).

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

114471840 is a wasteful number, since it uses less digits than its factorization.

114471840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 114471840 is about 10699.1513682161. The cubic root of 114471840 is about 485.5488030762.

The spelling of 114471840 in words is "one hundred fourteen million, four hundred seventy-one thousand, eight hundred forty".