449175889920 has 192 divisors, whose sum is σ = 1458466551360. Its totient is φ = 117991931904.

The previous prime is 449175889889. The next prime is 449175889969. The reversal of 449175889920 is 29988571944.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1949124 + ... + 2167356.

It is an arithmetic number, because the mean of its divisors is an integer number (7596179955).

Almost surely, 2^449175889920 is an apocalyptic number.

449175889920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449175889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729233275680).

449175889920 is an abundant number, since it is smaller than the sum of its proper divisors (1009290661440).

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

449175889920 is a wasteful number, since it uses less digits than its factorization.

449175889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218330 (or 218310 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 66.

The spelling of 449175889920 in words is "four hundred forty-nine billion, one hundred seventy-five million, eight hundred eighty-nine thousand, nine hundred twenty".