449646979680 has 720 divisors, whose sum is σ = 1664109437760. Its totient is φ = 114318397440.

The previous prime is 449646979669. The next prime is 449646979703. The reversal of 449646979680 is 86979646944.

449646979680 is a `hidden beast` number, since 4 + 4 + 96 + 469 + 79 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 449646979599 and 449646979608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 983910012 + ... + 983910468.

It is an arithmetic number, because the mean of its divisors is an integer number (2311263108).

Almost surely, 2^449646979680 is an apocalyptic number.

449646979680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449646979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832054718880).

449646979680 is an abundant number, since it is smaller than the sum of its proper divisors (1214462458080).

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

449646979680 is a wasteful number, since it uses less digits than its factorization.

449646979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 449646979680 in words is "four hundred forty-nine billion, six hundred forty-six million, nine hundred seventy-nine thousand, six hundred eighty".