441396800 has 84 divisors (see below), whose sum is σ = 1169714196. Its totient is φ = 162969600.

The previous prime is 441396797. The next prime is 441396811. The reversal of 441396800 is 8693144.

It can be written as a sum of positive squares in 6 ways, for example, as 732736 + 440664064 = 856^2 + 20992^2 .

It is a super-2 number, since 2×441396800² = 389662270100480000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 10190 + ... + 31410.

It is an arithmetic number, because the mean of its divisors is an integer number (13925169).

Almost surely, 2^441396800 is an apocalyptic number.

441396800 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 441396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584857098).

441396800 is an abundant number, since it is smaller than the sum of its proper divisors (728317396).

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

441396800 is a wasteful number, since it uses less digits than its factorization.

441396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21256 (or 21241 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 441396800 is about 21009.4454948245. The cubic root of 441396800 is about 761.3944850108.

The spelling of 441396800 in words is "four hundred forty-one million, three hundred ninety-six thousand, eight hundred".