441168 has 80 divisors (see below), whose sum is σ = 1416576. Its totient is φ = 115200.

The previous prime is 441157. The next prime is 441169. The reversal of 441168 is 861144.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4318 + ... + 4418.

2⁴⁴¹¹⁶⁸ is an apocalyptic number.

441168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708288).

441168 is an abundant number, since it is smaller than the sum of its proper divisors (975408).

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

441168 is a wasteful number, since it uses less digits than its factorization.

441168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 441168 is about 664.2047876973. The cubic root of 441168 is about 76.1262904864.

Subtracting from 441168 its sum of digits (24), we obtain a palindrome (441144).

It can be divided in two parts, 441 and 168, that multiplied together give a cube (74088 = 42³).

The spelling of 441168 in words is "four hundred forty-one thousand, one hundred sixty-eight".