448401009700 has 144 divisors (see below), whose sum is σ = 1148414496768. Its totient is φ = 148712400000.

The previous prime is 448401009671. The next prime is 448401009739. The reversal of 448401009700 is 7900104844.

It is a self number, because there is not a number n which added to its sum of digits gives 448401009700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88772175 + ... + 88777225.

It is an arithmetic number, because the mean of its divisors is an integer number (7975100672).

Almost surely, 2^448401009700 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 448401009700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574207248384).

448401009700 is an abundant number, since it is smaller than the sum of its proper divisors (700013487068).

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

448401009700 is a wasteful number, since it uses less digits than its factorization.

448401009700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9194 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 448401009700 in words is "four hundred forty-eight billion, four hundred one million, nine thousand, seven hundred".