448624619520 has 2496 divisors, whose sum is σ = 2065358684160. Its totient is φ = 81749606400.

The previous prime is 448624619519. The next prime is 448624619533. The reversal of 448624619520 is 25916426844.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 14471761905 + ... + 14471761935.

Almost surely, 2^448624619520 is an apocalyptic number.

448624619520 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 448624619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032679342080).

448624619520 is an abundant number, since it is smaller than the sum of its proper divisors (1616734064640).

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

448624619520 is a wasteful number, since it uses less digits than its factorization.

448624619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 448624619520 in words is "four hundred forty-eight billion, six hundred twenty-four million, six hundred nineteen thousand, five hundred twenty".