It is a happy number.
It is a nialpdrome in base 6.
It is a zygodrome in base 6.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45360.
45360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
45360 is a Friedman number, since it can be written as 35*(6+0)^4, using all its digits and the basic arithmetic operations.
45360 is a highly composite number, because it has more divisors than any smaller number.
245360 is an apocalyptic number.
45360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
45360 is the 135-th heptagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 45360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45360 is a wasteful number, since it uses less digits than its factorization.
45360 is an evil number, because the sum of its binary digits is even.
The square root of 45360 is about 212.9788721916. The cubic root of 45360 is about 35.6635317166.
The spelling of 45360 in words is "forty-five thousand, three hundred sixty".