4213264 has 40 divisors (see below), whose sum is σ = 9160128. Its totient is φ = 1860480.

The previous prime is 4213217. The next prime is 4213277. The reversal of 4213264 is 4623124.

It is a happy number.

4213264 is digitally balanced in base 5, because in such base 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 (22).

It is a d-powerful number, because it can be written as 4⁷ + 2⁹ + 1 + 3² + 2¹¹ + 6 + 4¹¹ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6189 + ... + 6835.

Almost surely, 2^4213264 is an apocalyptic number.

4213264 is a gapful number since it is divisible by the number (44) 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 4213264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580064).

4213264 is an abundant number, since it is smaller than the sum of its proper divisors (4946864).

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

4213264 is a wasteful number, since it uses less digits than its factorization.

4213264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 4213264 is about 2052.6236868944. The cubic root of 4213264 is about 161.5125314970.

Adding to 4213264 its reverse (4623124), we get a palindrome (8836388).

The spelling of 4213264 in words is "four million, two hundred thirteen thousand, two hundred sixty-four".