4000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
4000 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a nialpdrome in base 4, base 8, base 10 and base 16.
It is a zygodrome in base 4.
24000 is an apocalyptic number.
4000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
4000 is the 32-nd decagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4000 is an equidigital number, since it uses as much as digits as its factorization.
4000 is an evil number, because the sum of its binary digits is even.
The square root of 4000 is about 63.2455532034. The cubic root of 4000 is about 15.8740105197.