449027905920 has 1024 divisors, whose sum is σ = 1717015449600. Its totient is φ = 98625945600.

The previous prime is 449027905919. The next prime is 449027906003. The reversal of 449027905920 is 29509720944.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 914516875 + ... + 914517365.

It is an arithmetic number, because the mean of its divisors is an integer number (1676772900).

Almost surely, 2^449027905920 is an apocalyptic number.

449027905920 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 449027905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858507724800).

449027905920 is an abundant number, since it is smaller than the sum of its proper divisors (1267987543680).

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

449027905920 is a wasteful number, since it uses less digits than its factorization.

449027905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 449027905920 in words is "four hundred forty-nine billion, twenty-seven million, nine hundred five thousand, nine hundred twenty".