4260 has 24 divisors (see below), whose sum is σ = 12096. Its totient is φ = 1120.

The previous prime is 4259. The next prime is 4261. The reversal of 4260 is 624.

4260 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (4259) and next prime (4261).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a d-powerful number, because it can be written as 4⁶ + 6² + 2⁷ + 0 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4260.

It is not an unprimeable number, because it can be changed into a prime (4261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25 + ... + 95.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

2⁴²⁶⁰ 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 4260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048).

4260 is an abundant number, since it is smaller than the sum of its proper divisors (7836).

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

4260 is a wasteful number, since it uses less digits than its factorization.

4260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4260 is about 65.2686754883. The cubic root of 4260 is about 16.2107534152.

Multiplying 4260 by its product of nonzero digits (48), we get a triangular number (204480 = T₆₃₉).

Adding to 4260 its reverse (624), we get a palindrome (4884).

The spelling of 4260 in words is "four thousand, two hundred sixty".