448578432 has 256 divisors, whose sum is σ = 1410048000. Its totient is φ = 140175360.

The previous prime is 448578413. The next prime is 448578457. The reversal of 448578432 is 234875844.

It is a happy number.

448578432 is a `hidden beast` number, since 4 + 48 + 578 + 4 + 32 = 666.

Its product of digits (860160) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5678169 + ... + 5678247.

It is an arithmetic number, because the mean of its divisors is an integer number (5508000).

Almost surely, 2^448578432 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 448578432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705024000).

448578432 is an abundant number, since it is smaller than the sum of its proper divisors (961469568).

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

448578432 is a wasteful number, since it uses less digits than its factorization.

448578432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 448578432 is about 21179.6702523906. The cubic root of 448578432 is about 765.5016471371.

The spelling of 448578432 in words is "four hundred forty-eight million, five hundred seventy-eight thousand, four hundred thirty-two".