448436144 has 40 divisors (see below), whose sum is σ = 944470800. Its totient is φ = 205026048.

The previous prime is 448436143. The next prime is 448436231. The reversal of 448436144 is 441634844.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 448436098 and 448436107.

It is not an unprimeable number, because it can be changed into a prime (448436143) 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, 12182 + ... + 32330.

It is an arithmetic number, because the mean of its divisors is an integer number (23611770).

Almost surely, 2^448436144 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 448436144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472235400).

448436144 is an abundant number, since it is smaller than the sum of its proper divisors (496034656).

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

448436144 is a wasteful number, since it uses less digits than its factorization.

448436144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20277 (or 20271 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The square root of 448436144 is about 21176.3109157379. The cubic root of 448436144 is about 765.4207001505.

The spelling of 448436144 in words is "four hundred forty-eight million, four hundred thirty-six thousand, one hundred forty-four".