441306 has 12 divisors (see below), whose sum is σ = 956202. Its totient is φ = 147096.

The previous prime is 441281. The next prime is 441307. The reversal of 441306 is 603144.

It can be written as a sum of positive squares in only one way, i.e., 416025 + 25281 = 645^2 + 159^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 24517 = 441306 / (4 + 4 + 1 + 3 + 0 + 6).

It is not an unprimeable number, because it can be changed into a prime (441307) by changing a digit.

441306 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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12241 + ... + 12276.

2⁴⁴¹³⁰⁶ is an apocalyptic number.

441306 is an abundant number, since it is smaller than the sum of its proper divisors (514896).

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

441306 is a wasteful number, since it uses less digits than its factorization.

441306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24525 (or 24522 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 441306 is about 664.3086631981. The cubic root of 441306 is about 76.1342272459.

It can be divided in two parts, 441 and 306, that added together give a palindrome (747).

The spelling of 441306 in words is "four hundred forty-one thousand, three hundred six".