441864 has 72 divisors (see below), whose sum is σ = 1337310. Its totient is φ = 131328.

The previous prime is 441841. The next prime is 441877. The reversal of 441864 is 468144.

It can be written as a sum of positive squares in only one way, i.e., 324900 + 116964 = 570^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

441864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23247 + ... + 23265.

2⁴⁴¹⁸⁶⁴ 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 441864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668655).

441864 is an abundant number, since it is smaller than the sum of its proper divisors (895446).

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

441864 is a wasteful number, since it uses less digits than its factorization.

441864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 441864 is about 664.7285160124. The cubic root of 441864 is about 76.1663024996.

The spelling of 441864 in words is "four hundred forty-one thousand, eight hundred sixty-four".