448884008400 has 60 divisors (see below), whose sum is σ = 1437925110752. Its totient is φ = 119702401920.

The previous prime is 448884008387. The next prime is 448884008449. The reversal of 448884008400 is 4800488844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 448884008400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187033804 + ... + 187036203.

Almost surely, 2^448884008400 is an apocalyptic number.

448884008400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448884008400 is an abundant number, since it is smaller than the sum of its proper divisors (989041102352).

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

448884008400 is a wasteful number, since it uses less digits than its factorization.

448884008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374070028 (or 374070017 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 448884008400 in words is "four hundred forty-eight billion, eight hundred eighty-four million, eight thousand, four hundred".