448030087680 has 480 divisors, whose sum is σ = 1738923094656. Its totient is φ = 96379600896.

The previous prime is 448030087657. The next prime is 448030087691. The reversal of 448030087680 is 86780030844.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15522222 + ... + 15551058.

Almost surely, 2^448030087680 is an apocalyptic number.

448030087680 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 448030087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869461547328).

448030087680 is an abundant number, since it is smaller than the sum of its proper divisors (1290893006976).

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

448030087680 is a wasteful number, since it uses less digits than its factorization.

448030087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28904 (or 28871 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 448030087680 in words is "four hundred forty-eight billion, thirty million, eighty-seven thousand, six hundred eighty".