449868944 has 40 divisors (see below), whose sum is σ = 1000471680. Its totient is φ = 191962368.

The previous prime is 449868919. The next prime is 449868973.

449868944 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 449868944.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17477 + ... + 34715.

It is an arithmetic number, because the mean of its divisors is an integer number (25011792).

Almost surely, 2^449868944 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 449868944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500235840).

449868944 is an abundant number, since it is smaller than the sum of its proper divisors (550602736).

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

449868944 is a wasteful number, since it uses less digits than its factorization.

449868944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17487 (or 17481 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 56.

The square root of 449868944 is about 21210.1141911117. The cubic root of 449868944 is about 766.2350329861.

The spelling of 449868944 in words is "four hundred forty-nine million, eight hundred sixty-eight thousand, nine hundred forty-four".