448133000 has 64 divisors (see below), whose sum is σ = 1198454400. Its totient is φ = 153643200.

The previous prime is 448132999. The next prime is 448133003. The reversal of 448133000 is 331844.

It is not an unprimeable number, because it can be changed into a prime (448133003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25010 + ... + 39009.

It is an arithmetic number, because the mean of its divisors is an integer number (18725850).

Almost surely, 2^448133000 is an apocalyptic number.

448133000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448133000 is an abundant number, since it is smaller than the sum of its proper divisors (750321400).

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

448133000 is a wasteful number, since it uses less digits than its factorization.

448133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64047 (or 64033 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 448133000 is about 21169.1520850505. The cubic root of 448133000 is about 765.2481858097.

Adding to 448133000 its reverse (331844), we get a palindrome (448464844).

The spelling of 448133000 in words is "four hundred forty-eight million, one hundred thirty-three thousand".