448848044400 has 120 divisors (see below), whose sum is σ = 1643211347584. Its totient is φ = 102593836800.

The previous prime is 448848044369. The next prime is 448848044413. The reversal of 448848044400 is 4440848844.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 448848044400.

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, 26708746 + ... + 26725545.

Almost surely, 2^448848044400 is an apocalyptic number.

448848044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448848044400 is an abundant number, since it is smaller than the sum of its proper divisors (1194363303184).

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

448848044400 is a wasteful number, since it uses less digits than its factorization.

448848044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53434319 (or 53434308 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 448848044400 in words is "four hundred forty-eight billion, eight hundred forty-eight million, forty-four thousand, four hundred".