448950432 has 192 divisors, whose sum is σ = 1452294144. Its totient is φ = 118609920.

The previous prime is 448950427. The next prime is 448950497. The reversal of 448950432 is 234059844.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478668 + ... + 479604.

It is an arithmetic number, because the mean of its divisors is an integer number (7564032).

Almost surely, 2^448950432 is an apocalyptic number.

448950432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448950432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726147072).

448950432 is an abundant number, since it is smaller than the sum of its proper divisors (1003343712).

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

448950432 is a wasteful number, since it uses less digits than its factorization.

448950432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 448950432 is about 21188.4504388594. The cubic root of 448950432 is about 765.7131953755.

The spelling of 448950432 in words is "four hundred forty-eight million, nine hundred fifty thousand, four hundred thirty-two".