449188512 has 96 divisors (see below), whose sum is σ = 1226534400. Its totient is φ = 143784960.

The previous prime is 449188489. The next prime is 449188517. The reversal of 449188512 is 215881944.

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 (449188517) 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, 442918 + ... + 443930.

It is an arithmetic number, because the mean of its divisors is an integer number (12776400).

Almost surely, 2^449188512 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 449188512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613267200).

449188512 is an abundant number, since it is smaller than the sum of its proper divisors (777345888).

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

449188512 is a wasteful number, since it uses less digits than its factorization.

449188512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1198 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 449188512 is about 21194.0678492827. The cubic root of 449188512 is about 765.8485249272.

The spelling of 449188512 in words is "four hundred forty-nine million, one hundred eighty-eight thousand, five hundred twelve".