448395468 has 48 divisors (see below), whose sum is σ = 1121863680. Its totient is φ = 138887424.

The previous prime is 448395449. The next prime is 448395473. The reversal of 448395468 is 864593844.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 448395468.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2205 + ... + 30027.

It is an arithmetic number, because the mean of its divisors is an integer number (23372160).

Almost surely, 2^448395468 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 448395468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560931840).

448395468 is an abundant number, since it is smaller than the sum of its proper divisors (673468212).

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

448395468 is a wasteful number, since it uses less digits than its factorization.

448395468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27926 (or 27924 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 448395468 is about 21175.3504811609. The cubic root of 448395468 is about 765.3975566147.

The spelling of 448395468 in words is "four hundred forty-eight million, three hundred ninety-five thousand, four hundred sixty-eight".