441813456 has 120 divisors (see below), whose sum is σ = 1422299840. Its totient is φ = 125411328.

The previous prime is 441813443. The next prime is 441813461. The reversal of 441813456 is 654318144.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 441813456.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 162960 + ... + 165648.

Almost surely, 2^441813456 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 441813456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711149920).

441813456 is an abundant number, since it is smaller than the sum of its proper divisors (980486384).

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

441813456 is a wasteful number, since it uses less digits than its factorization.

441813456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2864 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 441813456 is about 21019.3590768130. The cubic root of 441813456 is about 761.6339821507.

The spelling of 441813456 in words is "four hundred forty-one million, eight hundred thirteen thousand, four hundred fifty-six".