448022440 has 64 divisors (see below), whose sum is σ = 1025168400. Its totient is φ = 176191488.

The previous prime is 448022417. The next prime is 448022441. The reversal of 448022440 is 44220844.

It can be written as a sum of positive squares in 8 ways, for example, as 56220004 + 391802436 = 7498^2 + 19794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 448022399 and 448022408.

It is not an unprimeable number, because it can be changed into a prime (448022441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128322 + ... + 1128718.

Almost surely, 2^448022440 is an apocalyptic number.

448022440 is a gapful number since it is divisible by the number (40) 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 448022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512584200).

448022440 is an abundant number, since it is smaller than the sum of its proper divisors (577145960).

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

448022440 is a wasteful number, since it uses less digits than its factorization.

448022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 448022440 is about 21166.5405770523. The cubic root of 448022440 is about 765.1852485432.

The spelling of 448022440 in words is "four hundred forty-eight million, twenty-two thousand, four hundred forty".