441688 has 32 divisors (see below), whose sum is σ = 927360. Its totient is φ = 195840.

The previous prime is 441667. The next prime is 441697. The reversal of 441688 is 886144.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3156 + ... + 3292.

It is an arithmetic number, because the mean of its divisors is an integer number (28980).

2⁴⁴¹⁶⁸⁸ 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 441688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463680).

441688 is an abundant number, since it is smaller than the sum of its proper divisors (485672).

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

441688 is a wasteful number, since it uses less digits than its factorization.

441688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 441688 is about 664.5961179544. The cubic root of 441688 is about 76.1561884906.

The spelling of 441688 in words is "four hundred forty-one thousand, six hundred eighty-eight".