441166968 has 144 divisors (see below), whose sum is σ = 1332021600. Its totient is φ = 131788800.

The previous prime is 441166963. The next prime is 441166981. The reversal of 441166968 is 869661144.

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 (441166963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 687928 + ... + 688568.

It is an arithmetic number, because the mean of its divisors is an integer number (9250150).

Almost surely, 2^441166968 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 441166968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666010800).

441166968 is an abundant number, since it is smaller than the sum of its proper divisors (890854632).

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

441166968 is a wasteful number, since it uses less digits than its factorization.

441166968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 736 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 441166968 is about 21003.9750523562. The cubic root of 441166968 is about 761.2623112701.

The spelling of 441166968 in words is "four hundred forty-one million, one hundred sixty-six thousand, nine hundred sixty-eight".