448401560880 has 640 divisors, whose sum is σ = 1770382688256. Its totient is φ = 91329638400.

The previous prime is 448401560863. The next prime is 448401560927. The reversal of 448401560880 is 88065104844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 492207625 + ... + 492208535.

Almost surely, 2^448401560880 is an apocalyptic number.

448401560880 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 448401560880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885191344128).

448401560880 is an abundant number, since it is smaller than the sum of its proper divisors (1321981127376).

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

448401560880 is a wasteful number, since it uses less digits than its factorization.

448401560880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 448401560880 in words is "four hundred forty-eight billion, four hundred one million, five hundred sixty thousand, eight hundred eighty".