443460816 has 60 divisors (see below), whose sum is σ = 1252103268. Its totient is φ = 146506752.

The previous prime is 443460791. The next prime is 443460863. The reversal of 443460816 is 618064344.

443460816 is a `hidden beast` number, since 4 + 4 + 34 + 608 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89870400 + 353590416 = 9480^2 + 18804^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2646 + ... + 29898.

Almost surely, 2^443460816 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 443460816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626051634).

443460816 is an abundant number, since it is smaller than the sum of its proper divisors (808642452).

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

443460816 is a wasteful number, since it uses less digits than its factorization.

443460816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27380 (or 27371 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 443460816 is about 21058.5093489544. The cubic root of 443460816 is about 762.5794257853.

The spelling of 443460816 in words is "four hundred forty-three million, four hundred sixty thousand, eight hundred sixteen".