440807040 has 192 divisors, whose sum is σ = 1539008640. Its totient is φ = 116250624.

The previous prime is 440807033. The next prime is 440807041. The reversal of 440807040 is 40708044.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 440806995 and 440807013.

It is not an unprimeable number, because it can be changed into a prime (440807041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 592909 + ... + 593651.

It is an arithmetic number, because the mean of its divisors is an integer number (8015670).

Almost surely, 2^440807040 is an apocalyptic number.

440807040 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 440807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769504320).

440807040 is an abundant number, since it is smaller than the sum of its proper divisors (1098201600).

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

440807040 is a wasteful number, since it uses less digits than its factorization.

440807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 440807040 is about 20995.4052116171. The cubic root of 440807040 is about 761.0552285482.

The spelling of 440807040 in words is "four hundred forty million, eight hundred seven thousand, forty".