448382772 has 72 divisors (see below), whose sum is σ = 1157738400. Its totient is φ = 146276928.

The previous prime is 448382731. The next prime is 448382783. The reversal of 448382772 is 277283844.

It is a super-2 number, since 2×448382772² = 402094220452807968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804718 + ... + 805274.

It is an arithmetic number, because the mean of its divisors is an integer number (16079700).

Almost surely, 2^448382772 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 448382772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578869200).

448382772 is an abundant number, since it is smaller than the sum of its proper divisors (709355628).

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

448382772 is a wasteful number, since it uses less digits than its factorization.

448382772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 448382772 is about 21175.0506965155. The cubic root of 448382772 is about 765.3903326500.

The spelling of 448382772 in words is "four hundred forty-eight million, three hundred eighty-two thousand, seven hundred seventy-two".