449975844864 has 1152 divisors, whose sum is σ = 1733571665280. Its totient is φ = 113515167744.

The previous prime is 449975844863. The next prime is 449975844881. The reversal of 449975844864 is 468448579944.

449975844864 is a `hidden beast` number, since 4 + 4 + 9 + 97 + 58 + 4 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×449975844864³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

Its product of digits (1114767360) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 449975844792 and 449975844801.

It is not an unprimeable number, because it can be changed into a prime (449975844863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19564167157 + ... + 19564167179.

It is an arithmetic number, because the mean of its divisors is an integer number (1504836515).

Almost surely, 2^449975844864 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 449975844864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866785832640).

449975844864 is an abundant number, since it is smaller than the sum of its proper divisors (1283595820416).

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

449975844864 is an frugal number, since it uses more digits than its factorization.

449975844864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 449975844864 in words is "four hundred forty-nine billion, nine hundred seventy-five million, eight hundred forty-four thousand, eight hundred sixty-four".