441588 has 36 divisors (see below), whose sum is σ = 1200192. Its totient is φ = 126000.

The previous prime is 441587. The next prime is 441607. The reversal of 441588 is 885144.

441588 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 441588.

It is not an unprimeable number, because it can be changed into a prime (441587) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213 + ... + 963.

2⁴⁴¹⁵⁸⁸ 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 441588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600096).

441588 is an abundant number, since it is smaller than the sum of its proper divisors (758604).

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

441588 is a wasteful number, since it uses less digits than its factorization.

441588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 763 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 441588 is about 664.5208800331. The cubic root of 441588 is about 76.1504406976.

Subtracting 441588 from its reverse (885144), we obtain a square (443556 = 666²).

The spelling of 441588 in words is "four hundred forty-one thousand, five hundred eighty-eight".