441028800 has 420 divisors, whose sum is σ = 1680658056. Its totient is φ = 113356800.

The previous prime is 441028787. The next prime is 441028811. The reversal of 441028800 is 8820144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5313559 + ... + 5313641.

Almost surely, 2^441028800 is an apocalyptic number.

441028800 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 441028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840329028).

441028800 is an abundant number, since it is smaller than the sum of its proper divisors (1239629256).

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

441028800 is a wasteful number, since it uses less digits than its factorization.

441028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 441028800 is about 21000.6857030907. The cubic root of 441028800 is about 761.1828303470.

Adding to 441028800 its reverse (8820144), we get a palindrome (449848944).

The spelling of 441028800 in words is "four hundred forty-one million, twenty-eight thousand, eight hundred".