447801120 has 288 divisors, whose sum is σ = 1733659200. Its totient is φ = 104343552.

The previous prime is 447801119. The next prime is 447801127. The reversal of 447801120 is 21108744.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (447801127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355051 + ... + 356309.

It is an arithmetic number, because the mean of its divisors is an integer number (6019650).

Almost surely, 2^447801120 is an apocalyptic number.

447801120 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 447801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866829600).

447801120 is an abundant number, since it is smaller than the sum of its proper divisors (1285858080).

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

447801120 is a wasteful number, since it uses less digits than its factorization.

447801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 447801120 is about 21161.3118685964. The cubic root of 447801120 is about 765.0592290422.

Adding to 447801120 its reverse (21108744), we get a palindrome (468909864).

The spelling of 447801120 in words is "four hundred forty-seven million, eight hundred one thousand, one hundred twenty".