449023564800 has 1584 divisors, whose sum is σ = 1829389161600. Its totient is φ = 108689817600.

The previous prime is 449023564799. The next prime is 449023564811. The reversal of 449023564800 is 8465320944.

449023564800 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 2 + 3 + 564 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3427660735 + ... + 3427660865.

It is an arithmetic number, because the mean of its divisors is an integer number (1154917400).

Almost surely, 2^449023564800 is an apocalyptic number.

449023564800 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 449023564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914694580800).

449023564800 is an abundant number, since it is smaller than the sum of its proper divisors (1380365596800).

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

449023564800 is a wasteful number, since it uses less digits than its factorization.

449023564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 449023564800 in words is "four hundred forty-nine billion, twenty-three million, five hundred sixty-four thousand, eight hundred".