448147152 has 60 divisors (see below), whose sum is σ = 1265334564. Its totient is φ = 148055040.

The previous prime is 448147127. The next prime is 448147153. The reversal of 448147152 is 251741844.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71166096 + 376981056 = 8436^2 + 19416^2 .

It is a super-2 number, since 2×448147152² = 401671739691422208, 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 not an unprimeable number, because it can be changed into a prime (448147153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2502 + ... + 30042.

Almost surely, 2^448147152 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 448147152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632667282).

448147152 is an abundant number, since it is smaller than the sum of its proper divisors (817187412).

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

448147152 is a wasteful number, since it uses less digits than its factorization.

448147152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27668 (or 27659 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 448147152 is about 21169.4863423750. The cubic root of 448147152 is about 765.2562412146.

Adding to 448147152 its reverse (251741844), we get a palindrome (699888996).

The spelling of 448147152 in words is "four hundred forty-eight million, one hundred forty-seven thousand, one hundred fifty-two".