449481088 has 128 divisors (see below), whose sum is σ = 1131563520. Its totient is φ = 173285376.

The previous prime is 449481079. The next prime is 449481113. The reversal of 449481088 is 880184944.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 349695 + ... + 350977.

It is an arithmetic number, because the mean of its divisors is an integer number (8840340).

Almost surely, 2^449481088 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 449481088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565781760).

449481088 is an abundant number, since it is smaller than the sum of its proper divisors (682082432).

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

449481088 is a wasteful number, since it uses less digits than its factorization.

449481088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The square root of 449481088 is about 21200.9690344569. The cubic root of 449481088 is about 766.0147656487.

The spelling of 449481088 in words is "four hundred forty-nine million, four hundred eighty-one thousand, eighty-eight".