446080000 has 220 divisors, whose sum is σ = 1208622492. Its totient is φ = 163840000.

The previous prime is 446079971. The next prime is 446080013. The reversal of 446080000 is 80644.

It can be written as a sum of positive squares in 10 ways, for example, as 388562944 + 57517056 = 19712^2 + 7584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10879980 + ... + 10880020.

Almost surely, 2^446080000 is an apocalyptic number.

446080000 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 446080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604311246).

446080000 is an abundant number, since it is smaller than the sum of its proper divisors (762542492).

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

446080000 is an equidigital number, since it uses as much as digits as its factorization.

446080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 446080000 is about 21120.6060519105. The cubic root of 446080000 is about 764.0778042708.

The spelling of 446080000 in words is "four hundred forty-six million, eighty thousand".