440046144 has 84 divisors (see below), whose sum is σ = 1264666000. Its totient is φ = 146292480.

The previous prime is 440046109. The next prime is 440046157. The reversal of 440046144 is 441640044.

440046144 is a `hidden beast` number, since 4 + 40 + 0 + 4 + 614 + 4 = 666.

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, 286659 + ... + 288189.

Almost surely, 2^440046144 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 440046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632333000).

440046144 is an abundant number, since it is smaller than the sum of its proper divisors (824619856).

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

440046144 is a wasteful number, since it uses less digits than its factorization.

440046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 440046144 is about 20977.2768490097. The cubic root of 440046144 is about 760.6170796226.

Adding to 440046144 its reverse (441640044), we get a palindrome (881686188).

The spelling of 440046144 in words is "four hundred forty million, forty-six thousand, one hundred forty-four".