441820720 has 80 divisors (see below), whose sum is σ = 1141882272. Its totient is φ = 157614080.

The previous prime is 441820697. The next prime is 441820739. The reversal of 441820720 is 27028144.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 41904 + ... + 51376.

Almost surely, 2^441820720 is an apocalyptic number.

441820720 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 441820720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570941136).

441820720 is an abundant number, since it is smaller than the sum of its proper divisors (700061552).

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

441820720 is a wasteful number, since it uses less digits than its factorization.

441820720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9550 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 441820720 is about 21019.5318691925. The cubic root of 441820720 is about 761.6381562192.

Adding to 441820720 its reverse (27028144), we get a palindrome (468848864).

The spelling of 441820720 in words is "four hundred forty-one million, eight hundred twenty thousand, seven hundred twenty".