448805610 has 160 divisors (see below), whose sum is σ = 1394407872. Its totient is φ = 102366720.

The previous prime is 448805587. The next prime is 448805611. The reversal of 448805610 is 16508844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448805611) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149989 + ... + 152951.

Almost surely, 2^448805610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448805610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697203936).

448805610 is an abundant number, since it is smaller than the sum of its proper divisors (945602262).

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

448805610 is a wasteful number, since it uses less digits than its factorization.

448805610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 448805610 is about 21185.0326881976. The cubic root of 448805610 is about 765.6308521780.

The spelling of 448805610 in words is "four hundred forty-eight million, eight hundred five thousand, six hundred ten".