441685440 has 448 divisors, whose sum is σ = 1823923200. Its totient is φ = 98537472.

The previous prime is 441685429. The next prime is 441685451. The reversal of 441685440 is 44586144.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (441685429) and next prime (441685451).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 441685395 and 441685404.

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 63 ways as a sum of consecutive naturals, for example, 4052106 + ... + 4052214.

Almost surely, 2^441685440 is an apocalyptic number.

441685440 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 441685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911961600).

441685440 is an abundant number, since it is smaller than the sum of its proper divisors (1382237760).

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

441685440 is a wasteful number, since it uses less digits than its factorization.

441685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 441685440 is about 21016.3136634377. The cubic root of 441685440 is about 761.5604135793.

The spelling of 441685440 in words is "four hundred forty-one million, six hundred eighty-five thousand, four hundred forty".