448406816000 has 1152 divisors, whose sum is σ = 1414225612800. Its totient is φ = 139345920000.

The previous prime is 448406815981. The next prime is 448406816009. The reversal of 448406816000 is 618604844.

It is a super-4 number, since 4×448406816000⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448406816009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4113823946 + ... + 4113824054.

It is an arithmetic number, because the mean of its divisors is an integer number (1227626400).

Almost surely, 2^448406816000 is an apocalyptic number.

448406816000 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 448406816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707112806400).

448406816000 is an abundant number, since it is smaller than the sum of its proper divisors (965818796800).

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

448406816000 is a wasteful number, since it uses less digits than its factorization.

448406816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 448406816000 in words is "four hundred forty-eight billion, four hundred six million, eight hundred sixteen thousand".