14456000 has 112 divisors (see below), whose sum is σ = 38831520. Its totient is φ = 5299200.

The previous prime is 14455997. The next prime is 14456009. The reversal of 14456000 is 65441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14456009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103931 + ... + 104069.

It is an arithmetic number, because the mean of its divisors is an integer number (346710).

Almost surely, 2^14456000 is an apocalyptic number.

14456000 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 14456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19415760).

14456000 is an abundant number, since it is smaller than the sum of its proper divisors (24375520).

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

14456000 is a wasteful number, since it uses less digits than its factorization.

14456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 14456000 is about 3802.1046803054. The cubic root of 14456000 is about 243.6030453233.

The spelling of 14456000 in words is "fourteen million, four hundred fifty-six thousand".