441869920 has 96 divisors (see below), whose sum is σ = 1072201536. Its totient is φ = 172032000.

The previous prime is 441869917. The next prime is 441869921. The reversal of 441869920 is 29968144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441869921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101720 + ... + 1102120.

It is an arithmetic number, because the mean of its divisors is an integer number (11168766).

Almost surely, 2^441869920 is an apocalyptic number.

441869920 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 441869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536100768).

441869920 is an abundant number, since it is smaller than the sum of its proper divisors (630331616).

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

441869920 is a wasteful number, since it uses less digits than its factorization.

441869920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 441869920 is about 21020.7021766638. The cubic root of 441869920 is about 761.6664265143. Note that the first 3 decimals are identical.

The spelling of 441869920 in words is "four hundred forty-one million, eight hundred sixty-nine thousand, nine hundred twenty".