443485440 has 216 divisors, whose sum is σ = 1551113928. Its totient is φ = 116981760.

The previous prime is 443485423. The next prime is 443485453. The reversal of 443485440 is 44584344.

It can be written as a sum of positive squares in 4 ways, for example, as 85821696 + 357663744 = 9264^2 + 18912^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 443485395 and 443485404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1578100 + ... + 1578380.

It is an arithmetic number, because the mean of its divisors is an integer number (7181083).

Almost surely, 2^443485440 is an apocalyptic number.

443485440 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 443485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775556964).

443485440 is an abundant number, since it is smaller than the sum of its proper divisors (1107628488).

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

443485440 is a wasteful number, since it uses less digits than its factorization.

443485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 443485440 is about 21059.0939976059. The cubic root of 443485440 is about 762.5935400787.

The spelling of 443485440 in words is "four hundred forty-three million, four hundred eighty-five thousand, four hundred forty".