446450440000 has 140 divisors (see below), whose sum is σ = 1107808890804. Its totient is φ = 178458112000.

The previous prime is 446450439989. The next prime is 446450440003. The reversal of 446450440000 is 44054644.

It can be written as a sum of positive squares in 10 ways, for example, as 440280023296 + 6170416704 = 663536^2 + 78552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446450440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78917172 + ... + 78922828.

Almost surely, 2^446450440000 is an apocalyptic number.

446450440000 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 446450440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553904445402).

446450440000 is an abundant number, since it is smaller than the sum of its proper divisors (661358450804).

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

446450440000 is an equidigital number, since it uses as much as digits as its factorization.

446450440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7662 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 446450440000 its reverse (44054644), we get a palindrome (446494494644).

The spelling of 446450440000 in words is "four hundred forty-six billion, four hundred fifty million, four hundred forty thousand".