448308432 has 400 divisors, whose sum is σ = 1588023360. Its totient is φ = 120268800.

The previous prime is 448308431. The next prime is 448308449. The reversal of 448308432 is 234803844.

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 (448308431) 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 79 ways as a sum of consecutive naturals, for example, 7598419 + ... + 7598477.

Almost surely, 2^448308432 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 448308432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794011680).

448308432 is an abundant number, since it is smaller than the sum of its proper divisors (1139714928).

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

448308432 is a wasteful number, since it uses less digits than its factorization.

448308432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 448308432 is about 21173.2952560531. The cubic root of 448308432 is about 765.3480308001.

The spelling of 448308432 in words is "four hundred forty-eight million, three hundred eight thousand, four hundred thirty-two".