448485220890 has 576 divisors, whose sum is σ = 1538176573440. Its totient is φ = 89884650240.

The previous prime is 448485220849. The next prime is 448485220891. The reversal of 448485220890 is 98022584844.

448485220890 is a `hidden beast` number, since 4 + 484 + 8 + 52 + 20 + 8 + 90 = 666.

It is a super-2 number, since 2×448485220890² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (448485220891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59738517 + ... + 59746023.

It is an arithmetic number, because the mean of its divisors is an integer number (2670445440).

Almost surely, 2^448485220890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448485220890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769088286720).

448485220890 is an abundant number, since it is smaller than the sum of its proper divisors (1089691352550).

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

448485220890 is a wasteful number, since it uses less digits than its factorization.

448485220890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 448485220890 in words is "four hundred forty-eight billion, four hundred eighty-five million, two hundred twenty thousand, eight hundred ninety".