448427675280 has 320 divisors, whose sum is σ = 1547388960768. Its totient is φ = 106680637440.

The previous prime is 448427675257. The next prime is 448427675347. The reversal of 448427675280 is 82576724844.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 448427675280.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85788027 + ... + 85793253.

Almost surely, 2^448427675280 is an apocalyptic number.

448427675280 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 448427675280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773694480384).

448427675280 is an abundant number, since it is smaller than the sum of its proper divisors (1098961285488).

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

448427675280 is a wasteful number, since it uses less digits than its factorization.

448427675280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 57.

The spelling of 448427675280 in words is "four hundred forty-eight billion, four hundred twenty-seven million, six hundred seventy-five thousand, two hundred eighty".