441800 has 36 divisors (see below), whose sum is σ = 1049505. Its totient is φ = 172960.

The previous prime is 441799. The next prime is 441811. The reversal of 441800 is 8144.

441800 = 73² + 74² + ... + 119².

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

441800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 432964 + 8836 = 658^2 + 94^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=470.

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 8 ways as a sum of consecutive naturals, for example, 9377 + ... + 9423.

2⁴⁴¹⁸⁰⁰ is an apocalyptic number.

441800 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 441800

441800 is an abundant number, since it is smaller than the sum of its proper divisors (607705).

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

441800 is a wasteful number, since it uses less digits than its factorization.

441800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 441800 is about 664.6803743154. The cubic root of 441800 is about 76.1626249890.

Multiplying 441800 by its product of nonzero digits (128), we get a square (56550400 = 7520²).

Adding to 441800 its reverse (8144), we get a palindrome (449944).

The spelling of 441800 in words is "four hundred forty-one thousand, eight hundred".