448966800 has 360 divisors, whose sum is σ = 1679059200. Its totient is φ = 115084800.

The previous prime is 448966781. The next prime is 448966841. The reversal of 448966800 is 8669844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3013126 + ... + 3013274.

Almost surely, 2^448966800 is an apocalyptic number.

448966800 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 448966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839529600).

448966800 is an abundant number, since it is smaller than the sum of its proper divisors (1230092400).

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

448966800 is a wasteful number, since it uses less digits than its factorization.

448966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 448966800 is about 21188.8366834992. The cubic root of 448966800 is about 765.7225008135.

It can be divided in two parts, 4489 and 66800, that added together give a square (71289 = 267²).

The spelling of 448966800 in words is "four hundred forty-eight million, nine hundred sixty-six thousand, eight hundred".