448048457472 has 576 divisors, whose sum is σ = 1589809987584. Its totient is φ = 108442091520.

The previous prime is 448048457447. The next prime is 448048457503. The reversal of 448048457472 is 274754840844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103544973 + ... + 103549299.

It is an arithmetic number, because the mean of its divisors is an integer number (2760086784).

Almost surely, 2^448048457472 is an apocalyptic number.

448048457472 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 448048457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794904993792).

448048457472 is an abundant number, since it is smaller than the sum of its proper divisors (1141761530112).

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

448048457472 is a wasteful number, since it uses less digits than its factorization.

448048457472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 32112640, while the sum is 57.

The spelling of 448048457472 in words is "four hundred forty-eight billion, forty-eight million, four hundred fifty-seven thousand, four hundred seventy-two".