448833888 has 72 divisors (see below), whose sum is σ = 1307536776. Its totient is φ = 145958400.

The previous prime is 448833887. The next prime is 448833901. The reversal of 448833888 is 888338844.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448833883) 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, 7198 + ... + 30813.

It is an arithmetic number, because the mean of its divisors is an integer number (18160233).

Almost surely, 2^448833888 is an apocalyptic number.

448833888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

448833888 is an abundant number, since it is smaller than the sum of its proper divisors (858702888).

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

448833888 is a wasteful number, since it uses less digits than its factorization.

448833888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38068 (or 38057 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 448833888 is about 21185.7000828389. The cubic root of 448833888 is about 765.6469319343.

The spelling of 448833888 in words is "four hundred forty-eight million, eight hundred thirty-three thousand, eight hundred eighty-eight".