443661240 has 192 divisors, whose sum is σ = 1543743360. Its totient is φ = 101140480.

The previous prime is 443661233. The next prime is 443661241. The reversal of 443661240 is 42166344.

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 = 443661198 and 443661207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443661241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 380899 + ... + 382061.

It is an arithmetic number, because the mean of its divisors is an integer number (8040330).

Almost surely, 2^443661240 is an apocalyptic number.

443661240 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 443661240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771871680).

443661240 is an abundant number, since it is smaller than the sum of its proper divisors (1100082120).

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

443661240 is a wasteful number, since it uses less digits than its factorization.

443661240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 443661240 is about 21063.2675527801. The cubic root of 443661240 is about 762.6942921528.

The spelling of 443661240 in words is "four hundred forty-three million, six hundred sixty-one thousand, two hundred forty".