40248 has 48 divisors (see below), whose sum is σ = 120120. Its totient is φ = 12096.

The previous prime is 40241. The next prime is 40253. The reversal of 40248 is 84204.

It is a happy number.

40248 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 is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 40248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40241) by changing a digit.

40248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915 + ... + 957.

2⁴⁰²⁴⁸ 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 40248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60060).

40248 is an abundant number, since it is smaller than the sum of its proper divisors (79872).

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

40248 is a wasteful number, since it uses less digits than its factorization.

40248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40248 is about 200.6190419676. The cubic root of 40248 is about 34.2700523704.

Adding to 40248 its product of nonzero digits (256), we get a palindrome (40504).

Subtracting 40248 from its reverse (84204), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 40248 in words is "forty thousand, two hundred forty-eight".