448826527080 has 192 divisors, whose sum is σ = 1474636363200. Its totient is φ = 118381885440.

The previous prime is 448826527057. The next prime is 448826527087. The reversal of 448826527080 is 80725628844.

448826527080 is a `hidden beast` number, since 4 + 488 + 2 + 65 + 27 + 0 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (448826527087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25375840 + ... + 25393520.

It is an arithmetic number, because the mean of its divisors is an integer number (7680397725).

Almost surely, 2^448826527080 is an apocalyptic number.

448826527080 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 448826527080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737318181600).

448826527080 is an abundant number, since it is smaller than the sum of its proper divisors (1025809836120).

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

448826527080 is a wasteful number, since it uses less digits than its factorization.

448826527080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18464 (or 18457 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 448826527080 in words is "four hundred forty-eight billion, eight hundred twenty-six million, five hundred twenty-seven thousand, eighty".