441288 has 48 divisors (see below), whose sum is σ = 1244880. Its totient is φ = 146448.

The previous prime is 441281. The next prime is 441307. The reversal of 441288 is 882144.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (441281) by changing a digit.

441288 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1831 + ... + 2057.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2⁴⁴¹²⁸⁸ 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 441288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622440).

441288 is an abundant number, since it is smaller than the sum of its proper divisors (803592).

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

441288 is a wasteful number, since it uses less digits than its factorization.

441288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 441288 is about 664.2951151409. The cubic root of 441288 is about 76.1331921102.

It can be divided in two parts, 441 and 288, that added together give a 6-th power (729 = 3⁶).

The spelling of 441288 in words is "four hundred forty-one thousand, two hundred eighty-eight".