448785820 has 48 divisors (see below), whose sum is σ = 1087188480. Its totient is φ = 152426304.

The previous prime is 448785773. The next prime is 448785851. The reversal of 448785820 is 28587844.

It is a happy number.

448785820 is a nontrivial binomial coefficient, being equal to C(29960, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 29959.

It is an arithmetic number, because the mean of its divisors is an integer number (22649760).

Almost surely, 2^448785820 is an apocalyptic number.

448785820 is the 29959-th triangular number and also the 14980-th hexagonal number.

448785820 is the 9987-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448785820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543594240).

448785820 is an abundant number, since it is smaller than the sum of its proper divisors (638402660).

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

448785820 is a wasteful number, since it uses less digits than its factorization.

448785820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30082 (or 30080 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 46.

The square root of 448785820 is about 21184.5656080081. The cubic root of 448785820 is about 765.6195985625.

The spelling of 448785820 in words is "four hundred forty-eight million, seven hundred eighty-five thousand, eight hundred twenty".