448008700 has 72 divisors (see below), whose sum is σ = 999936000. Its totient is φ = 174144960.

The previous prime is 448008647. The next prime is 448008709. The reversal of 448008700 is 7800844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448008709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935061 + ... + 935539.

It is an arithmetic number, because the mean of its divisors is an integer number (13888000).

Almost surely, 2^448008700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448008700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968000).

448008700 is an abundant number, since it is smaller than the sum of its proper divisors (551927300).

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

448008700 is a wasteful number, since it uses less digits than its factorization.

448008700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 448008700 is about 21166.2160057012. The cubic root of 448008700 is about 765.1774262023.

The spelling of 448008700 in words is "four hundred forty-eight million, eight thousand, seven hundred".