40488 has 32 divisors (see below), whose sum is σ = 116160. Its totient is φ = 11520.

The previous prime is 40487. The next prime is 40493. The reversal of 40488 is 88404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (3630).

2⁴⁰⁴⁸⁸ 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 40488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58080).

40488 is an abundant number, since it is smaller than the sum of its proper divisors (75672).

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

40488 is a wasteful number, since it uses less digits than its factorization.

40488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40488 is about 201.2163015265. The cubic root of 40488 is about 34.3380351957.

It can be divided in two parts, 40 and 488, that added together give a triangular number (528 = T₃₂).

The spelling of 40488 in words is "forty thousand, four hundred eighty-eight".