448100385600 has 672 divisors, whose sum is σ = 1726271067136. Its totient is φ = 99632332800.

The previous prime is 448100385583. The next prime is 448100385653. The reversal of 448100385600 is 6583001844.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 478228332 + ... + 478229268.

Almost surely, 2^448100385600 is an apocalyptic number.

448100385600 is a gapful number since it is divisible by the number (40) 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 448100385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863135533568).

448100385600 is an abundant number, since it is smaller than the sum of its proper divisors (1278170681536).

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

448100385600 is a wasteful number, since it uses less digits than its factorization.

448100385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 448100385600 in words is "four hundred forty-eight billion, one hundred million, three hundred eighty-five thousand, six hundred".