440041672 has 48 divisors (see below), whose sum is σ = 995232960. Its totient is φ = 178655328.

The previous prime is 440041649. The next prime is 440041687. The reversal of 440041672 is 276140044.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 440041672.

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 11 ways as a sum of consecutive naturals, for example, 9333 + ... + 31099.

It is an arithmetic number, because the mean of its divisors is an integer number (20734020).

Almost surely, 2^440041672 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 440041672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497616480).

440041672 is an abundant number, since it is smaller than the sum of its proper divisors (555191288).

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

440041672 is a wasteful number, since it uses less digits than its factorization.

440041672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21818 (or 21795 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 440041672 is about 20977.1702572106. The cubic root of 440041672 is about 760.6145030056.

The spelling of 440041672 in words is "four hundred forty million, forty-one thousand, six hundred seventy-two".