449502048000 has 1440 divisors, whose sum is σ = 1774025373120. Its totient is φ = 112870195200.

The previous prime is 449502047999. The next prime is 449502048007. The reversal of 449502048000 is 840205944.

449502048000 is a `hidden beast` number, since 449 + 5 + 0 + 204 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449502048007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4123871946 + ... + 4123872054.

Almost surely, 2^449502048000 is an apocalyptic number.

449502048000 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 449502048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887012686560).

449502048000 is an abundant number, since it is smaller than the sum of its proper divisors (1324523325120).

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

449502048000 is a wasteful number, since it uses less digits than its factorization.

449502048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 449502048000 in words is "four hundred forty-nine billion, five hundred two million, forty-eight thousand".