448561152 has 240 divisors, whose sum is σ = 1451141505. Its totient is φ = 138018816.

The previous prime is 448561151. The next prime is 448561159. The reversal of 448561152 is 251165844.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

448561152 is a `hidden beast` number, since 4 + 48 + 561 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 383533056 + 65028096 = 19584^2 + 8064^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14976.

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 (448561151) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 34504698 + ... + 34504710.

Almost surely, 2^448561152 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 448561152

448561152 is an abundant number, since it is smaller than the sum of its proper divisors (1002580353).

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

448561152 is an frugal number, since it uses more digits than its factorization.

448561152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 18 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 448561152 is about 21179.2623100995. The cubic root of 448561152 is about 765.4918175381.

The spelling of 448561152 in words is "four hundred forty-eight million, five hundred sixty-one thousand, one hundred fifty-two".