4264 has 16 divisors (see below), whose sum is σ = 8820. Its totient is φ = 1920.

The previous prime is 4261. The next prime is 4271. The reversal of 4264 is 4624.

4264 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 3364 + 900 = 58^2 + 30^2 .

It is a d-powerful number, because it can be written as 4 + 6² + 2⁷ + 4⁶ .

4264 is an undulating number in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4264.

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 3 ways as a sum of consecutive naturals, for example, 84 + ... + 124.

2⁴²⁶⁴ 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 4264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410).

4264 is an abundant number, since it is smaller than the sum of its proper divisors (4556).

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

4264 is a wasteful number, since it uses less digits than its factorization.

4264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 56 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 4264 is about 65.2993108693. The cubic root of 4264 is about 16.2158256162.

Adding to 4264 its reverse (4624), we get a palindrome (8888).

The spelling of 4264 in words is "four thousand, two hundred sixty-four".