448138368 has 96 divisors (see below), whose sum is σ = 1307966400. Its totient is φ = 147248640.

The previous prime is 448138367. The next prime is 448138381. The reversal of 448138368 is 863831844.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (448138367) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 79053 + ... + 84531.

It is an arithmetic number, because the mean of its divisors is an integer number (13624650).

Almost surely, 2^448138368 is an apocalyptic number.

448138368 is a gapful number since it is divisible by the number (48) 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 448138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653983200).

448138368 is an abundant number, since it is smaller than the sum of its proper divisors (859828032).

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

448138368 is a wasteful number, since it uses less digits than its factorization.

448138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570 (or 5555 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 448138368 is about 21169.2788729328. The cubic root of 448138368 is about 765.2512413281.

It can be divided in two parts, 4481 and 38368, that added together give a square (42849 = 207²).

The spelling of 448138368 in words is "four hundred forty-eight million, one hundred thirty-eight thousand, three hundred sixty-eight".