443681040 has 160 divisors (see below), whose sum is σ = 1565899776. Its totient is φ = 102868480.

The previous prime is 443681039. The next prime is 443681089. The reversal of 443681040 is 40186344.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 443680989 and 443681007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57067 + ... + 64373.

Almost surely, 2^443681040 is an apocalyptic number.

443681040 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 443681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782949888).

443681040 is an abundant number, since it is smaller than the sum of its proper divisors (1122218736).

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

443681040 is a wasteful number, since it uses less digits than its factorization.

443681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7357 (or 7351 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 443681040 is about 21063.7375600818. The cubic root of 443681040 is about 762.7056379883.

The spelling of 443681040 in words is "four hundred forty-three million, six hundred eighty-one thousand, forty".