448603272 has 224 divisors, whose sum is σ = 1394624280. Its totient is φ = 134369280.

The previous prime is 448603271. The next prime is 448603277. The reversal of 448603272 is 272306844.

448603272 is a `hidden beast` number, since 4 + 48 + 603 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166564836 + 282038436 = 12906^2 + 16794^2 .

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 (448603271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4624728 + ... + 4624824.

Almost surely, 2^448603272 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 448603272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697312140).

448603272 is an abundant number, since it is smaller than the sum of its proper divisors (946021008).

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

448603272 is a wasteful number, since it uses less digits than its factorization.

448603272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 448603272 is about 21180.2566556687. The cubic root of 448603272 is about 765.5157767434.

The spelling of 448603272 in words is "four hundred forty-eight million, six hundred three thousand, two hundred seventy-two".