441988000 has 96 divisors (see below), whose sum is σ = 1109541888. Its totient is φ = 172960000.

The previous prime is 441987983. The next prime is 441988073. The reversal of 441988000 is 889144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186825 + ... + 189175.

It is an arithmetic number, because the mean of its divisors is an integer number (11557728).

Almost surely, 2^441988000 is an apocalyptic number.

441988000 is a gapful number since it is divisible by the number (40) 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 441988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554770944).

441988000 is an abundant number, since it is smaller than the sum of its proper divisors (667553888).

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

441988000 is a wasteful number, since it uses less digits than its factorization.

441988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 441988000 is about 21023.5106487951. The cubic root of 441988000 is about 761.7342666618.

The spelling of 441988000 in words is "four hundred forty-one million, nine hundred eighty-eight thousand".