448446563471400 has 384 divisors, whose sum is σ = 1501278632017920. Its totient is φ = 110080434170880.

The previous prime is 448446563471393. The next prime is 448446563471411. The reversal of 448446563471400 is 4174365644844.

It is a super-2 number, since 2×448446563471400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31257159027 + ... + 31257173373.

It is an arithmetic number, because the mean of its divisors is an integer number (3909579770880).

Almost surely, 2^{448446563471400} is an apocalyptic number.

448446563471400 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 448446563471400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750639316008960).

448446563471400 is an abundant number, since it is smaller than the sum of its proper divisors (1052832068546520).

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

448446563471400 is a wasteful number, since it uses less digits than its factorization.

448446563471400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25225 (or 25216 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 60.

The spelling of 448446563471400 in words is "four hundred forty-eight trillion, four hundred forty-six billion, five hundred sixty-three million, four hundred seventy-one thousand, four hundred".