4240 has 20 divisors (see below), whose sum is σ = 10044. Its totient is φ = 1664.

The previous prime is 4231. The next prime is 4241. The reversal of 4240 is 424.

It can be written as a sum of positive squares in 2 ways, for example, as 2304 + 1936 = 48^2 + 44^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Leyland number of the form 12² + 2¹².

It is a d-powerful number, because it can be written as 4² + 4⁶ + 2⁷ + 0 .

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54 + ... + 106.

2⁴²⁴⁰ is an apocalyptic number.

4240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022).

4240 is an abundant number, since it is smaller than the sum of its proper divisors (5804).

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

4240 is a wasteful number, since it uses less digits than its factorization.

4240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4240 is about 65.1152823844. The cubic root of 4240 is about 16.1853446691.

4240 divided by its sum of digits (10) gives a palindrome (424).

Adding to 4240 its reverse (424), we get a palindrome (4664).

The spelling of 4240 in words is "four thousand, two hundred forty", and thus it is an iban number.