448110432 has 288 divisors, whose sum is σ = 1611477504. Its totient is φ = 115695360.

The previous prime is 448110413. The next prime is 448110433. The reversal of 448110432 is 234011844.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 448110396 and 448110405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448110433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2683213 + ... + 2683379.

It is an arithmetic number, because the mean of its divisors is an integer number (5595408).

Almost surely, 2^448110432 is an apocalyptic number.

448110432 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 448110432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805738752).

448110432 is an abundant number, since it is smaller than the sum of its proper divisors (1163367072).

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

448110432 is a wasteful number, since it uses less digits than its factorization.

448110432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 448110432 is about 21168.6190385674. The cubic root of 448110432 is about 765.2353396152.

The spelling of 448110432 in words is "four hundred forty-eight million, one hundred ten thousand, four hundred thirty-two".