448577667 has 24 divisors (see below), whose sum is σ = 655409040. Its totient is φ = 295626240.

The previous prime is 448577653. The next prime is 448577683. The reversal of 448577667 is 766775844.

448577667 is a `hidden beast` number, since 4 + 4 + 8 + 577 + 6 + 67 = 666.

It is not a de Polignac number, because 448577667 - 2¹² = 448573571 is a prime.

It is not an unprimeable number, because it can be changed into a prime (448577617) 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 23 ways as a sum of consecutive naturals, for example, 396759 + ... + 397887.

It is an arithmetic number, because the mean of its divisors is an integer number (27308710).

Almost surely, 2^448577667 is an apocalyptic number.

448577667 is a deficient number, since it is larger than the sum of its proper divisors (206831373).

448577667 is a wasteful number, since it uses less digits than its factorization.

448577667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1600 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 448577667 is about 21179.6521926117. The cubic root of 448577667 is about 765.5012119779.

The spelling of 448577667 in words is "four hundred forty-eight million, five hundred seventy-seven thousand, six hundred sixty-seven".