441685620 has 144 divisors (see below), whose sum is σ = 1388853648. Its totient is φ = 113541120.

The previous prime is 441685591. The next prime is 441685627. The reversal of 441685620 is 26586144.

It can be written as a sum of positive squares in 8 ways, for example, as 177102864 + 264582756 = 13308^2 + 16266^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441685627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715552 + ... + 716168.

It is an arithmetic number, because the mean of its divisors is an integer number (9644817).

Almost surely, 2^441685620 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 441685620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694426824).

441685620 is an abundant number, since it is smaller than the sum of its proper divisors (947168028).

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

441685620 is a wasteful number, since it uses less digits than its factorization.

441685620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 765 counting only the distinct ones).

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

The square root of 441685620 is about 21016.3179458249. The cubic root of 441685620 is about 761.5605170321.

The spelling of 441685620 in words is "four hundred forty-one million, six hundred eighty-five thousand, six hundred twenty".