40500 has 60 divisors (see below), whose sum is σ = 132132. Its totient is φ = 10800.

The previous prime is 40499. The next prime is 40507. The reversal of 40500 is 504.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1296 + 39204 = 36^2 + 198^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 15.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8098 + ... + 8102.

2⁴⁰⁵⁰⁰ 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 40500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66066).

40500 is an abundant number, since it is smaller than the sum of its proper divisors (91632).

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

40500 is a wasteful number, since it uses less digits than its factorization.

40500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 40500 is about 201.2461179750. The cubic root of 40500 is about 34.3414272766.

Multiplying 40500 by its product of nonzero digits (20), we get a 4-th power (810000 = 30⁴).

40500 divided by its product of nonzero digits (20) gives a square (2025 = 45²).

The spelling of 40500 in words is "forty thousand, five hundred".