448111872 has 144 divisors (see below), whose sum is σ = 1427366080. Its totient is φ = 137852928.

The previous prime is 448111871. The next prime is 448111907. The reversal of 448111872 is 278111844.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448111871) 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, 87363 + ... + 92349.

Almost surely, 2^448111872 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 448111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713683040).

448111872 is an abundant number, since it is smaller than the sum of its proper divisors (979254208).

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

448111872 is a wasteful number, since it uses less digits than its factorization.

448111872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 5005 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 448111872 is about 21168.6530511509. The cubic root of 448111872 is about 765.2361593073.

The spelling of 448111872 in words is "four hundred forty-eight million, one hundred eleven thousand, eight hundred seventy-two".