440804 has 36 divisors (see below), whose sum is σ = 971964. Its totient is φ = 173376.

The previous prime is 440773. The next prime is 440807. The reversal of 440804 is 408044.

It can be written as a sum of positive squares in 2 ways, for example, as 240100 + 200704 = 490^2 + 448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440807) by changing a digit.

440804 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 2462 + ... + 2634.

It is an arithmetic number, because the mean of its divisors is an integer number (26999).

2⁴⁴⁰⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485982).

440804 is an abundant number, since it is smaller than the sum of its proper divisors (531160).

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

440804 is a wasteful number, since it uses less digits than its factorization.

440804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 440804 is about 663.9307192772. The cubic root of 440804 is about 76.1053479020.

Adding to 440804 its reverse (408044), we get a palindrome (848848).

It can be divided in two parts, 4 and 40804, that multiplied together give a square (163216 = 404²).

The spelling of 440804 in words is "four hundred forty thousand, eight hundred four".