448237512 has 96 divisors (see below), whose sum is σ = 1286625600. Its totient is φ = 140579712.

The previous prime is 448237511. The next prime is 448237513. The reversal of 448237512 is 215732844.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (448237511) and next prime (448237513).

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 (448237511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213733 + ... + 215819.

It is an arithmetic number, because the mean of its divisors is an integer number (13402350).

Almost surely, 2^448237512 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 448237512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643312800).

448237512 is an abundant number, since it is smaller than the sum of its proper divisors (838388088).

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

448237512 is a wasteful number, since it uses less digits than its factorization.

448237512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2268 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 448237512 is about 21171.6204386910. The cubic root of 448237512 is about 765.3076706813.

The spelling of 448237512 in words is "four hundred forty-eight million, two hundred thirty-seven thousand, five hundred twelve".