448267667200 has 108 divisors (see below), whose sum is σ = 1115284464448. Its totient is φ = 178377523200.

The previous prime is 448267667173. The next prime is 448267667201. The reversal of 448267667200 is 2766762844.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448267667201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1053745 + ... + 1416655.

Almost surely, 2^448267667200 is an apocalyptic number.

448267667200 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 448267667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557642232224).

448267667200 is an abundant number, since it is smaller than the sum of its proper divisors (667016797248).

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

448267667200 is a wasteful number, since it uses less digits than its factorization.

448267667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363130 (or 363111 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 52.

The spelling of 448267667200 in words is "four hundred forty-eight billion, two hundred sixty-seven million, six hundred sixty-seven thousand, two hundred".