448012800 has 180 divisors, whose sum is σ = 1603726410. Its totient is φ = 119439360.

The previous prime is 448012787. The next prime is 448012801. The reversal of 448012800 is 8210844.

It can be written as a sum of positive squares in 3 ways, for example, as 374190336 + 73822464 = 19344^2 + 8592^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (448012801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113256 + ... + 117144.

Almost surely, 2^448012800 is an apocalyptic number.

448012800 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 448012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801863205).

448012800 is an abundant number, since it is smaller than the sum of its proper divisors (1155713610).

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

448012800 is a wasteful number, since it uses less digits than its factorization.

448012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 448012800 is about 21166.3128579354. The cubic root of 448012800 is about 765.1797603964.

The spelling of 448012800 in words is "four hundred forty-eight million, twelve thousand, eight hundred".