448040712 has 192 divisors, whose sum is σ = 1403075520. Its totient is φ = 118444032.

The previous prime is 448040689. The next prime is 448040741. The reversal of 448040712 is 217040844.

It is a self number, because there is not a number n which added to its sum of digits gives 448040712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1459263 + ... + 1459569.

It is an arithmetic number, because the mean of its divisors is an integer number (7307685).

Almost surely, 2^448040712 is an apocalyptic number.

448040712 is a gapful number since it is divisible by the number (42) 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 448040712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701537760).

448040712 is an abundant number, since it is smaller than the sum of its proper divisors (955034808).

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

448040712 is a wasteful number, since it uses less digits than its factorization.

448040712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 448040712 is about 21166.9721972700. The cubic root of 448040712 is about 765.1956507564.

The spelling of 448040712 in words is "four hundred forty-eight million, forty thousand, seven hundred twelve".