449456596992 has 576 divisors, whose sum is σ = 1481040288000. Its totient is φ = 130172977152.

The previous prime is 449456596991. The next prime is 449456596999. The reversal of 449456596992 is 299695654944.

449456596992 is a `hidden beast` number, since 449 + 4 + 5 + 6 + 5 + 96 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×449456596992² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 449456596992.

It is not an unprimeable number, because it can be changed into a prime (449456596991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1224677193 + ... + 1224677559.

It is an arithmetic number, because the mean of its divisors is an integer number (2571250500).

Almost surely, 2^449456596992 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 449456596992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740520144000).

449456596992 is an abundant number, since it is smaller than the sum of its proper divisors (1031583691008).

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

449456596992 is a wasteful number, since it uses less digits than its factorization.

449456596992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 673 counting only the distinct ones).

The product of its digits is 755827200, while the sum is 72.

The spelling of 449456596992 in words is "four hundred forty-nine billion, four hundred fifty-six million, five hundred ninety-six thousand, nine hundred ninety-two".