448846272000 has 2880 divisors, whose sum is σ = 2119124367360. Its totient is φ = 94058496000.

The previous prime is 448846271999. The next prime is 448846272001. The reversal of 448846272000 is 272648844.

448846272000 is a `hidden beast` number, since 44 + 88 + 462 + 72 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (448846271999) and next prime (448846272001).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448846272001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14478911985 + ... + 14478912015.

It is an arithmetic number, because the mean of its divisors is an integer number (735807072).

Almost surely, 2^448846272000 is an apocalyptic number.

448846272000 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 448846272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059562183680).

448846272000 is an abundant number, since it is smaller than the sum of its proper divisors (1670278095360).

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

448846272000 is an equidigital number, since it uses as much as digits as its factorization.

448846272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 448846272000 in words is "four hundred forty-eight billion, eight hundred forty-six million, two hundred seventy-two thousand".