448008192 has 104 divisors (see below), whose sum is σ = 1327597280. Its totient is φ = 149299200.

The previous prime is 448008179. The next prime is 448008193. The reversal of 448008192 is 291800844.

It is a super-2 number, since 2×448008192² = 401422680198217728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (448008193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108567 + ... + 112617.

Almost surely, 2^448008192 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 448008192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663798640).

448008192 is an abundant number, since it is smaller than the sum of its proper divisors (879589088).

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

448008192 is an equidigital number, since it uses as much as digits as its factorization.

448008192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 448008192 is about 21166.2040054423. The cubic root of 448008192 is about 765.1771369889.

The spelling of 448008192 in words is "four hundred forty-eight million, eight thousand, one hundred ninety-two".