449101440 has 96 divisors (see below), whose sum is σ = 1550823300. Its totient is φ = 119758848.

The previous prime is 449101399. The next prime is 449101441. The reversal of 449101440 is 44101944.

It can be written as a sum of positive squares in 2 ways, for example, as 449100864 + 576 = 21192^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (449101441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33225 + ... + 44744.

Almost surely, 2^449101440 is an apocalyptic number.

449101440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449101440 is an abundant number, since it is smaller than the sum of its proper divisors (1101721860).

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

449101440 is a wasteful number, since it uses less digits than its factorization.

449101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77994 (or 77979 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 449101440 is about 21192.0135900296. The cubic root of 449101440 is about 765.7990369653.

The spelling of 449101440 in words is "four hundred forty-nine million, one hundred one thousand, four hundred forty".