114444000 has 432 divisors, whose sum is σ = 470682576. Its totient is φ = 26112000.

The previous prime is 114443993. The next prime is 114444007. The reversal of 114444000 is 444411.

It is an interprime number because it is at equal distance from previous prime (114443993) and next prime (114444007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114444007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6731992 + ... + 6732008.

It is an arithmetic number, because the mean of its divisors is an integer number (1089543).

Almost surely, 2^114444000 is an apocalyptic number.

114444000 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 114444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235341288).

114444000 is an abundant number, since it is smaller than the sum of its proper divisors (356238576).

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

114444000 is a wasteful number, since it uses less digits than its factorization.

114444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 114444000 is about 10697.8502513355. The cubic root of 114444000 is about 485.5094374276.

Adding to 114444000 its reverse (444411), we get a palindrome (114888411).

The spelling of 114444000 in words is "one hundred fourteen million, four hundred forty-four thousand".