441226968 has 320 divisors, whose sum is σ = 1505817600. Its totient is φ = 106686720.

The previous prime is 441226939. The next prime is 441226997. The reversal of 441226968 is 869622144.

It is an interprime number because it is at equal distance from previous prime (441226939) and next prime (441226997).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14233113 + ... + 14233143.

It is an arithmetic number, because the mean of its divisors is an integer number (4705680).

Almost surely, 2^441226968 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 441226968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752908800).

441226968 is an abundant number, since it is smaller than the sum of its proper divisors (1064590632).

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

441226968 is a wasteful number, since it uses less digits than its factorization.

441226968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 441226968 is about 21005.4033048642. The cubic root of 441226968 is about 761.2968210071.

The spelling of 441226968 in words is "four hundred forty-one million, two hundred twenty-six thousand, nine hundred sixty-eight".