433664 has 60 divisors (see below), whose sum is σ = 1088472. Its totient is φ = 168960.

The previous prime is 433663. The next prime is 433673. The reversal of 433664 is 466334.

It is a d-powerful number, because it can be written as 4⁸ + 3⁵ + 6² + 3¹⁰ + 6⁶ + 4⁹ .

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 433664.

It is not an unprimeable number, because it can be changed into a prime (433661) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 39419 + ... + 39429.

2⁴³³⁶⁶⁴ is an apocalyptic number.

433664 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 433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544236).

433664 is an abundant number, since it is smaller than the sum of its proper divisors (654808).

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

433664 is an equidigital number, since it uses as much as digits as its factorization.

433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 20 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

The square root of 433664 is about 658.5317000722. The cubic root of 433664 is about 75.6921992233.

Adding to 433664 its reverse (466334), we get a palindrome (899998).

The spelling of 433664 in words is "four hundred thirty-three thousand, six hundred sixty-four".