440811008 has 160 divisors (see below), whose sum is σ = 1039433472. Its totient is φ = 184729600.

The previous prime is 440810999. The next prime is 440811047. The reversal of 440811008 is 800118044.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5310935 + ... + 5311017.

Almost surely, 2^440811008 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 440811008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519716736).

440811008 is an abundant number, since it is smaller than the sum of its proper divisors (598622464).

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

440811008 is a wasteful number, since it uses less digits than its factorization.

440811008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 440811008 is about 20995.4997082708. The cubic root of 440811008 is about 761.0575121310.

The spelling of 440811008 in words is "four hundred forty million, eight hundred eleven thousand, eight".