441445440 has 112 divisors (see below), whose sum is σ = 1462601088. Its totient is φ = 112594944.

The previous prime is 441445423. The next prime is 441445441. The reversal of 441445440 is 44544144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 441445398 and 441445407.

It is not an unprimeable number, because it can be changed into a prime (441445441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12084 + ... + 32076.

Almost surely, 2^441445440 is an apocalyptic number.

441445440 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 441445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731300544).

441445440 is an abundant number, since it is smaller than the sum of its proper divisors (1021155648).

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

441445440 is a wasteful number, since it uses less digits than its factorization.

441445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20036 (or 20026 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 441445440 is about 21010.6030375142. The cubic root of 441445440 is about 761.4224514327.

Adding to 441445440 its reverse (44544144), we get a palindrome (485989584).

The spelling of 441445440 in words is "four hundred forty-one million, four hundred forty-five thousand, four hundred forty".