448295904 has 144 divisors (see below), whose sum is σ = 1521147600. Its totient is φ = 128072448.

The previous prime is 448295851. The next prime is 448295951. The reversal of 448295904 is 409592844.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 448295904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37042 + ... + 47630.

It is an arithmetic number, because the mean of its divisors is an integer number (10563525).

Almost surely, 2^448295904 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 448295904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760573800).

448295904 is an abundant number, since it is smaller than the sum of its proper divisors (1072851696).

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

448295904 is a wasteful number, since it uses less digits than its factorization.

448295904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10622 (or 10601 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 448295904 is about 21172.9994096255. Note that the first 3 decimals coincide. The cubic root of 448295904 is about 765.3409015049.

The spelling of 448295904 in words is "four hundred forty-eight million, two hundred ninety-five thousand, nine hundred four".