448082208 has 144 divisors (see below), whose sum is σ = 1487566080. Its totient is φ = 125273088.

The previous prime is 448082203. The next prime is 448082237. The reversal of 448082208 is 802280844.

448082208 is a `hidden beast` number, since 448 + 0 + 8 + 2 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (448082203) 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, 92388 + ... + 97116.

It is an arithmetic number, because the mean of its divisors is an integer number (10330320).

Almost surely, 2^448082208 is an apocalyptic number.

448082208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448082208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743783040).

448082208 is an abundant number, since it is smaller than the sum of its proper divisors (1039483872).

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

448082208 is a wasteful number, since it uses less digits than its factorization.

448082208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799 (or 4788 counting only the distinct ones).

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

The square root of 448082208 is about 21167.9523808988. The cubic root of 448082208 is about 765.2192732961.

The spelling of 448082208 in words is "four hundred forty-eight million, eighty-two thousand, two hundred eight".