446488900 has 72 divisors (see below), whose sum is σ = 1138302144. Its totient is φ = 149865600.

The previous prime is 446488883. The next prime is 446488921. The reversal of 446488900 is 9884644.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1312 + ... + 29911.

It is an arithmetic number, because the mean of its divisors is an integer number (15809752).

Almost surely, 2^446488900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446488900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569151072).

446488900 is an abundant number, since it is smaller than the sum of its proper divisors (691813244).

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

446488900 is a wasteful number, since it uses less digits than its factorization.

446488900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31261 (or 31254 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 446488900 is about 21130.2839545521. The cubic root of 446488900 is about 764.3111973835.

The spelling of 446488900 in words is "four hundred forty-six million, four hundred eighty-eight thousand, nine hundred".