448042672 has 90 divisors (see below), whose sum is σ = 1110191964. Its totient is φ = 174525120.

The previous prime is 448042649. The next prime is 448042697. The reversal of 448042672 is 276240844.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 92503 + ... + 97225.

Almost surely, 2^448042672 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 448042672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555095982).

448042672 is an abundant number, since it is smaller than the sum of its proper divisors (662149292).

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

448042672 is a wasteful number, since it uses less digits than its factorization.

448042672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 448042672 is about 21167.0184957636. The cubic root of 448042672 is about 765.1967665637.

The spelling of 448042672 in words is "four hundred forty-eight million, forty-two thousand, six hundred seventy-two".