448008084 has 60 divisors (see below), whose sum is σ = 1179847284. Its totient is φ = 148231296.

The previous prime is 448008073. The next prime is 448008097. The reversal of 448008084 is 480800844.

It can be written as a sum of positive squares in 2 ways, for example, as 245799684 + 202208400 = 15678^2 + 14220^2 .

It is a super-2 number, since 2×448008084² = 401422486658702112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39342 + ... + 49434.

Almost surely, 2^448008084 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 448008084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589923642).

448008084 is an abundant number, since it is smaller than the sum of its proper divisors (731839200).

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

448008084 is a wasteful number, since it uses less digits than its factorization.

448008084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10246 (or 10235 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 448008084 is about 21166.2014542052. The cubic root of 448008084 is about 765.1770755026.

The spelling of 448008084 in words is "four hundred forty-eight million, eight thousand, eighty-four".