441090048 has 128 divisors (see below), whose sum is σ = 1346351040. Its totient is φ = 125829120.

The previous prime is 441089989. The next prime is 441090049. The reversal of 441090048 is 840090144.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 441089997 and 441090024.

It is not an unprimeable number, because it can be changed into a prime (441090049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687808 + ... + 688448.

Almost surely, 2^441090048 is an apocalyptic number.

441090048 is a gapful number since it is divisible by the number (48) 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 441090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673175520).

441090048 is an abundant number, since it is smaller than the sum of its proper divisors (905260992).

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

441090048 is an frugal number, since it uses more digits than its factorization.

441090048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 441090048 is about 21002.1438905651. The cubic root of 441090048 is about 761.2180652100.

The spelling of 441090048 in words is "four hundred forty-one million, ninety thousand, forty-eight".