440800 has 72 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 161280.

The previous prime is 440773. The next prime is 440807. The reversal of 440800 is 8044.

440800 = T₁₀₇ + T₁₀₈ + ... + T₁₅₆.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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

440800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15186 + ... + 15214.

It is an arithmetic number, because the mean of its divisors is an integer number (16275).

2⁴⁴⁰⁸⁰⁰ is an apocalyptic number.

440800 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 440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585900).

440800 is an abundant number, since it is smaller than the sum of its proper divisors (731000).

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

440800 is a wasteful number, since it uses less digits than its factorization.

440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 440800 is about 663.9277069079. The cubic root of 440800 is about 76.1051176997.

Adding to 440800 its reverse (8044), we get a palindrome (448844).

It can be divided in two parts, 4 and 40800, that added together give a palindrome (40804).

The spelling of 440800 in words is "four hundred forty thousand, eight hundred".