448464842080 has 96 divisors (see below), whose sum is σ = 1085795329248. Its totient is φ = 174937190400.

The previous prime is 448464842069. The next prime is 448464842081. The reversal of 448464842080 is 80248464844.

It is a super-2 number, since 2×448464842080² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448464842081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17180719 + ... + 17206801.

It is an arithmetic number, because the mean of its divisors is an integer number (11310368013).

Almost surely, 2^448464842080 is an apocalyptic number.

448464842080 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 448464842080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542897664624).

448464842080 is an abundant number, since it is smaller than the sum of its proper divisors (637330487168).

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

448464842080 is a wasteful number, since it uses less digits than its factorization.

448464842080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28760 (or 28752 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 52.

The spelling of 448464842080 in words is "four hundred forty-eight billion, four hundred sixty-four million, eight hundred forty-two thousand, eighty".