448132805280 has 576 divisors, whose sum is σ = 1664902512000. Its totient is φ = 109376593920.

The previous prime is 448132805249. The next prime is 448132805287. The reversal of 448132805280 is 82508231844.

448132805280 is a `hidden beast` number, since 4 + 48 + 1 + 3 + 2 + 80 + 528 + 0 = 666.

It is a super-2 number, since 2×448132805280² (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 not an unprimeable number, because it can be changed into a prime (448132805287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150834195 + ... + 150837165.

It is an arithmetic number, because the mean of its divisors is an integer number (2890455750).

Almost surely, 2^448132805280 is an apocalyptic number.

448132805280 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 448132805280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832451256000).

448132805280 is an abundant number, since it is smaller than the sum of its proper divisors (1216769706720).

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

448132805280 is a wasteful number, since it uses less digits than its factorization.

448132805280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 448132805280 in words is "four hundred forty-eight billion, one hundred thirty-two million, eight hundred five thousand, two hundred eighty".