449972739216 has 320 divisors, whose sum is σ = 1734162339840. Its totient is φ = 107885468160.

The previous prime is 449972739133. The next prime is 449972739217. The reversal of 449972739216 is 612937279944.

449972739216 is a `hidden beast` number, since 4 + 499 + 72 + 73 + 9 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (449972739217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 87850 + ... + 952713.

It is an arithmetic number, because the mean of its divisors is an integer number (5419257312).

Almost surely, 2^449972739216 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 449972739216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867081169920).

449972739216 is an abundant number, since it is smaller than the sum of its proper divisors (1284189600624).

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

449972739216 is a wasteful number, since it uses less digits than its factorization.

449972739216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040611 (or 1040599 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 449972739216 in words is "four hundred forty-nine billion, nine hundred seventy-two million, seven hundred thirty-nine thousand, two hundred sixteen".