448410216960 has 480 divisors, whose sum is σ = 1595777863680. Its totient is φ = 116298547200.

The previous prime is 448410216959. The next prime is 448410216973. The reversal of 448410216960 is 69612014844.

448410216960 is a `hidden beast` number, since 4 + 484 + 1 + 0 + 2 + 169 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×448410216960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452482065 + ... + 452483055.

It is an arithmetic number, because the mean of its divisors is an integer number (3324537216).

Almost surely, 2^448410216960 is an apocalyptic number.

448410216960 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 448410216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797888931840).

448410216960 is an abundant number, since it is smaller than the sum of its proper divisors (1147367646720).

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

448410216960 is a wasteful number, since it uses less digits than its factorization.

448410216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 448410216960 in words is "four hundred forty-eight billion, four hundred ten million, two hundred sixteen thousand, nine hundred sixty".