449890089984 has 132 divisors (see below), whose sum is σ = 1330733083680. Its totient is φ = 146305597440.

The previous prime is 449890089983. The next prime is 449890090007. The reversal of 449890089984 is 489980098944.

449890089984 is a `hidden beast` number, since 449 + 8 + 90 + 0 + 8 + 9 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449890089983) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 217464 + ... + 973175.

It is an arithmetic number, because the mean of its divisors is an integer number (10081311240).

Almost surely, 2^449890089984 is an apocalyptic number.

It is an amenable number.

449890089984 is an abundant number, since it is smaller than the sum of its proper divisors (880842993696).

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

449890089984 is a wasteful number, since it uses less digits than its factorization.

449890089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190706 (or 1190685 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 449890089984 in words is "four hundred forty-nine billion, eight hundred ninety million, eighty-nine thousand, nine hundred eighty-four".