Subtracting from 45864 its product of digits (3840), we obtain a palindrome (42024).
Subtracting 45864 from its reverse (46854), we obtain a triangular number (990 = T44).
It is a tau number, because it is divible by the number of its divisors (72).
It is a nialpdrome in base 6.
It is a zygodrome in base 6.
45864 is a Friedman number, since it can be written as 546*84, using all its digits and the basic arithmetic operations.
245864 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 45864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77805).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45864 is a wasteful number, since it uses less digits than its factorization.
45864 is an odious number, because the sum of its binary digits is odd.
The square root of 45864 is about 214.1588195709. The cubic root of 45864 is about 35.7951326570.
The spelling of 45864 in words is "forty-five thousand, eight hundred sixty-four".