448544420280 has 288 divisors, whose sum is σ = 1626267661200. Its totient is φ = 107114388480.

The previous prime is 448544420263. The next prime is 448544420281. The reversal of 448544420280 is 82024445844.

448544420280 is a `hidden beast` number, since 4 + 4 + 8 + 544 + 4 + 20 + 2 + 80 = 666.

It is a super-3 number, since 3×448544420280³ (a number of 36 digits) contains 333 as substring.

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 (448544420281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2841676 + ... + 2995364.

Almost surely, 2^448544420280 is an apocalyptic number.

448544420280 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 448544420280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813133830600).

448544420280 is an abundant number, since it is smaller than the sum of its proper divisors (1177723240920).

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

448544420280 is a wasteful number, since it uses less digits than its factorization.

448544420280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153795 (or 153777 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 45.

The spelling of 448544420280 in words is "four hundred forty-eight billion, five hundred forty-four million, four hundred twenty thousand, two hundred eighty".