449853092640 has 864 divisors, whose sum is σ = 1887591625920. Its totient is φ = 97005662208.

The previous prime is 449853092639. The next prime is 449853092681. The reversal of 449853092640 is 46290358944.

449853092640 is a `hidden beast` number, since 4 + 49 + 8 + 530 + 9 + 2 + 64 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 411575934 + ... + 411577026.

It is an arithmetic number, because the mean of its divisors is an integer number (2184712530).

Almost surely, 2^449853092640 is an apocalyptic number.

449853092640 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 449853092640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943795812960).

449853092640 is an abundant number, since it is smaller than the sum of its proper divisors (1437738533280).

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

449853092640 is a wasteful number, since it uses less digits than its factorization.

449853092640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 449853092640 in words is "four hundred forty-nine billion, eight hundred fifty-three million, ninety-two thousand, six hundred forty".