441057984 has 112 divisors (see below), whose sum is σ = 1219626720. Its totient is φ = 140492800.

The previous prime is 441057983. The next prime is 441058021. The reversal of 441057984 is 489750144.

It is not an unprimeable number, because it can be changed into a prime (441057983) 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, 628834 + ... + 629534.

Almost surely, 2^441057984 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 441057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609813360).

441057984 is an abundant number, since it is smaller than the sum of its proper divisors (778568736).

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

441057984 is a wasteful number, since it uses less digits than its factorization.

441057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 441057984 is about 21001.3805260511. The cubic root of 441057984 is about 761.1996197795.

The spelling of 441057984 in words is "four hundred forty-one million, fifty-seven thousand, nine hundred eighty-four".