40530 has 32 divisors (see below), whose sum is σ = 111744. Its totient is φ = 9216.

The previous prime is 40529. The next prime is 40531. The reversal of 40530 is 3504.

40530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40529) and next prime (40531).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40530.

It is not an unprimeable number, because it can be changed into a prime (40531) 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, 114 + ... + 306.

It is an arithmetic number, because the mean of its divisors is an integer number (3492).

2⁴⁰⁵³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55872).

40530 is an abundant number, since it is smaller than the sum of its proper divisors (71214).

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

40530 is a wasteful number, since it uses less digits than its factorization.

40530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210.

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 40530 is about 201.3206397765. The cubic root of 40530 is about 34.3499045486.

Subtracting from 40530 its product of nonzero digits (60), we obtain a triangular number (40470 = T₂₈₄).

It can be divided in two parts, 405 and 30, that added together give a triangular number (435 = T₂₉).

The spelling of 40530 in words is "forty thousand, five hundred thirty".