448627417500 has 240 divisors, whose sum is σ = 1331834676480. Its totient is φ = 117480000000.

The previous prime is 448627417499. The next prime is 448627417507. The reversal of 448627417500 is 5714726844.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 448627417500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448627417507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100790275 + ... + 100794725.

It is an arithmetic number, because the mean of its divisors is an integer number (5549311152).

Almost surely, 2^448627417500 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 448627417500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665917338240).

448627417500 is an abundant number, since it is smaller than the sum of its proper divisors (883207258980).

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

448627417500 is a wasteful number, since it uses less digits than its factorization.

448627417500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 448627417500 in words is "four hundred forty-eight billion, six hundred twenty-seven million, four hundred seventeen thousand, five hundred".