449987444676 has 288 divisors, whose sum is σ = 1431082598400. Its totient is φ = 115817644800.

The previous prime is 449987444629. The next prime is 449987444677. The reversal of 449987444676 is 676444789944.

449987444676 is a `hidden beast` number, since 4 + 4 + 9 + 98 + 74 + 4 + 467 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (449987444677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187571725 + ... + 187574123.

It is an arithmetic number, because the mean of its divisors is an integer number (4969036800).

Almost surely, 2^449987444676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449987444676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715541299200).

449987444676 is an abundant number, since it is smaller than the sum of its proper divisors (981095153724).

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

449987444676 is a wasteful number, since it uses less digits than its factorization.

449987444676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 3010 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 449987444676 in words is "four hundred forty-nine billion, nine hundred eighty-seven million, four hundred forty-four thousand, six hundred seventy-six".