448892000 has 48 divisors (see below), whose sum is σ = 1102937472. Its totient is φ = 179555200.

The previous prime is 448891999. The next prime is 448892009. The reversal of 448892000 is 298844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448892009) 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 7 ways as a sum of consecutive naturals, for example, 52112 + ... + 60111.

It is an arithmetic number, because the mean of its divisors is an integer number (22977864).

Almost surely, 2^448892000 is an apocalyptic number.

448892000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448892000 is an abundant number, since it is smaller than the sum of its proper divisors (654045472).

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

448892000 is a wasteful number, since it uses less digits than its factorization.

448892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112248 (or 112230 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 448892000 is about 21187.0715295909. The cubic root of 448892000 is about 765.6799741173.

The spelling of 448892000 in words is "four hundred forty-eight million, eight hundred ninety-two thousand".