441115200 has 168 divisors, whose sum is σ = 1608185760. Its totient is φ = 117619200.

The previous prime is 441115033. The next prime is 441115219. The reversal of 441115200 is 2511144.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 38095 + ... + 48305.

Almost surely, 2^441115200 is an apocalyptic number.

441115200 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 441115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804092880).

441115200 is an abundant number, since it is smaller than the sum of its proper divisors (1167070560).

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

441115200 is a wasteful number, since it uses less digits than its factorization.

441115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10242 (or 10221 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 441115200 is about 21002.7426780409. The cubic root of 441115200 is about 761.2325337544.

Adding to 441115200 its reverse (2511144), we get a palindrome (443626344).

The spelling of 441115200 in words is "four hundred forty-one million, one hundred fifteen thousand, two hundred".