441301068 has 192 divisors, whose sum is σ = 1320883200. Its totient is φ = 126282240.

The previous prime is 441301057. The next prime is 441301093. The reversal of 441301068 is 860103144.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1893880 + ... + 1894112.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^441301068 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 441301068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

441301068 is an abundant number, since it is smaller than the sum of its proper divisors (879582132).

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

441301068 is a wasteful number, since it uses less digits than its factorization.

441301068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 441301068 is about 21007.1670626955. The cubic root of 441301068 is about 761.3394362149.

The spelling of 441301068 in words is "four hundred forty-one million, three hundred one thousand, sixty-eight".