448066800 has 180 divisors, whose sum is σ = 1577715984. Its totient is φ = 117734400.

The previous prime is 448066799. The next prime is 448066811. The reversal of 448066800 is 8660844.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 254724 + ... + 256476.

Almost surely, 2^448066800 is an apocalyptic number.

448066800 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 448066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788857992).

448066800 is an abundant number, since it is smaller than the sum of its proper divisors (1129649184).

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

448066800 is a wasteful number, since it uses less digits than its factorization.

448066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 448066800 is about 21167.5884313731. The cubic root of 448066800 is about 765.2105021126.

The spelling of 448066800 in words is "four hundred forty-eight million, sixty-six thousand, eight hundred".