443420406 has 80 divisors (see below), whose sum is σ = 1167355728. Its totient is φ = 124027200.

The previous prime is 443420399. The next prime is 443420413. The reversal of 443420406 is 604024344.

It is an interprime number because it is at equal distance from previous prime (443420399) and next prime (443420413).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 443420406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13596 + ... + 32736.

Almost surely, 2^443420406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443420406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583677864).

443420406 is an abundant number, since it is smaller than the sum of its proper divisors (723935322).

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

443420406 is a wasteful number, since it uses less digits than its factorization.

443420406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19179 (or 19170 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 443420406 is about 21057.5498574739. The cubic root of 443420406 is about 762.5562619419.

The spelling of 443420406 in words is "four hundred forty-three million, four hundred twenty thousand, four hundred six".