448920000 has 420 divisors, whose sum is σ = 1702048920. Its totient is φ = 112896000.

The previous prime is 448919993. The next prime is 448920089. The reversal of 448920000 is 29844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10439979 + ... + 10440021.

Almost surely, 2^448920000 is an apocalyptic number.

448920000 is a gapful number since it is divisible by the number (40) 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 448920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851024460).

448920000 is an abundant number, since it is smaller than the sum of its proper divisors (1253128920).

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

448920000 is a wasteful number, since it uses less digits than its factorization.

448920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 448920000 is about 21187.7322996115. The cubic root of 448920000 is about 765.6958937546.

Adding to 448920000 its reverse (29844), we get a palindrome (448949844).

The spelling of 448920000 in words is "four hundred forty-eight million, nine hundred twenty thousand".