448605432 has 128 divisors (see below), whose sum is σ = 1418688000. Its totient is φ = 130014720.

The previous prime is 448605431. The next prime is 448605467. The reversal of 448605432 is 234506844.

448605432 is a `hidden beast` number, since 4 + 4 + 8 + 605 + 43 + 2 = 666.

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 (448605431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50544 + ... + 58752.

It is an arithmetic number, because the mean of its divisors is an integer number (11083500).

Almost surely, 2^448605432 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 448605432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709344000).

448605432 is an abundant number, since it is smaller than the sum of its proper divisors (970082568).

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

448605432 is a wasteful number, since it uses less digits than its factorization.

448605432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 448605432 is about 21180.3076464909. The cubic root of 448605432 is about 765.5170053801.

The spelling of 448605432 in words is "four hundred forty-eight million, six hundred five thousand, four hundred thirty-two".