4224264 has 32 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 1280000.

The previous prime is 4224247. The next prime is 4224281. The reversal of 4224264 is 4624224.

It is an interprime number because it is at equal distance from previous prime (4224247) and next prime (4224281).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7737 + ... + 8264.

It is an arithmetic number, because the mean of its divisors is an integer number (360045).

Almost surely, 2^4224264 is an apocalyptic number.

4224264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4224264 is an abundant number, since it is smaller than the sum of its proper divisors (7297176).

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

4224264 is a wasteful number, since it uses less digits than its factorization.

4224264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16021 (or 16017 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 4224264 is about 2055.3014377458. The cubic root of 4224264 is about 161.6529684547.

Adding to 4224264 its reverse (4624224), we get a palindrome (8848488).

It can be divided in two parts, 4224 and 264, that multiplied together give a square (1115136 = 1056²).

The spelling of 4224264 in words is "four million, two hundred twenty-four thousand, two hundred sixty-four".