449485591804800 has 192 divisors, whose sum is σ = 1544862436940160. Its totient is φ = 114651397273600.

The previous prime is 449485591804789. The next prime is 449485591804867. The reversal of 449485591804800 is 8408195584944.

It is a happy number.

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

It is a super-2 number, since 2×449485591804800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1017636066 + ... + 1018077665.

It is an arithmetic number, because the mean of its divisors is an integer number (8046158525730).

Almost surely, 2^{449485591804800} is an apocalyptic number.

449485591804800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449485591804800 is an abundant number, since it is smaller than the sum of its proper divisors (1095376845135360).

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

449485591804800 is a wasteful number, since it uses less digits than its factorization.

449485591804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035713781 (or 2035713764 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 69.

The spelling of 449485591804800 in words is "four hundred forty-nine trillion, four hundred eighty-five billion, five hundred ninety-one million, eight hundred four thousand, eight hundred".