436224 has 48 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 143360.

The previous prime is 436217. The next prime is 436231. The reversal of 436224 is 422634.

It is an interprime number because it is at equal distance from previous prime (436217) and next prime (436231).

It is a tau number, because it is divible by the number of its divisors (48).

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

Its product of digits (1152) is a multiple of the sum of its prime factors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 436224.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 436224.

It is an unprimeable number.

436224 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 6109 + ... + 6179.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

436224 is a Friedman number, since it can be written as 426*4^(3+2), using all its digits and the basic arithmetic operations.

2⁴³⁶²²⁴ 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 436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

436224 is an abundant number, since it is smaller than the sum of its proper divisors (743136).

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

436224 is an equidigital number, since it uses as much as digits as its factorization.

436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 436224 is about 660.4725580976. The cubic root of 436224 is about 75.8408488573.

Adding to 436224 its reverse (422634), we get a palindrome (858858).

The spelling of 436224 in words is "four hundred thirty-six thousand, two hundred twenty-four".