441200000 has 96 divisors (see below), whose sum is σ = 1099617120. Its totient is φ = 176320000.

The previous prime is 441199999. The next prime is 441200021. The reversal of 441200000 is 2144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399449 + ... + 400551.

It is an arithmetic number, because the mean of its divisors is an integer number (11454345).

Almost surely, 2^441200000 is an apocalyptic number.

441200000 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 441200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549808560).

441200000 is an abundant number, since it is smaller than the sum of its proper divisors (658417120).

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

441200000 is an frugal number, since it uses more digits than its factorization.

441200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 441200000 is about 21004.7613649858. The cubic root of 441200000 is about 761.2813104177.

Adding to 441200000 its reverse (2144), we get a palindrome (441202144).

The spelling of 441200000 in words is "four hundred forty-one million, two hundred thousand".