440997568 has 112 divisors (see below), whose sum is σ = 999548928. Its totient is φ = 192825600.

The previous prime is 440997563. The next prime is 440997643. The reversal of 440997568 is 865799044.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (440997563) 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 15 ways as a sum of consecutive naturals, for example, 2640621 + ... + 2640787.

It is an arithmetic number, because the mean of its divisors is an integer number (8924544).

Almost surely, 2^440997568 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 440997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499774464).

440997568 is an abundant number, since it is smaller than the sum of its proper divisors (558551360).

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

440997568 is a wasteful number, since it uses less digits than its factorization.

440997568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 440997568 is about 20999.9420951583. The cubic root of 440997568 is about 761.1648618883.

The spelling of 440997568 in words is "four hundred forty million, nine hundred ninety-seven thousand, five hundred sixty-eight".