440938496 has 52 divisors (see below), whose sum is σ = 893081112. Its totient is φ = 217645056.

The previous prime is 440938493. The next prime is 440938499. The reversal of 440938496 is 694839044.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (440938493) and next prime (440938499).

It is a self number, because there is not a number n which added to its sum of digits gives 440938496.

It is not an unprimeable number, because it can be changed into a prime (440938493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 339320 + ... + 340616.

Almost surely, 2^440938496 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 440938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446540556).

440938496 is an abundant number, since it is smaller than the sum of its proper divisors (452142616).

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

440938496 is an equidigital number, since it uses as much as digits as its factorization.

440938496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The square root of 440938496 is about 20998.5355679866. The cubic root of 440938496 is about 761.1308741434.

The spelling of 440938496 in words is "four hundred forty million, nine hundred thirty-eight thousand, four hundred ninety-six".