443980368 has 90 divisors (see below), whose sum is σ = 1340860794. Its totient is φ = 136328832.

The previous prime is 443980351. The next prime is 443980399. The reversal of 443980368 is 863089344.

It can be written as a sum of positive squares in only one way, i.e., 307371024 + 136609344 = 17532^2 + 11688^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 911421 + ... + 911907.

Almost surely, 2^443980368 is an apocalyptic number.

443980368 is a gapful number since it is divisible by the number (48) 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 443980368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670430397).

443980368 is an abundant number, since it is smaller than the sum of its proper divisors (896880426).

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

443980368 is a wasteful number, since it uses less digits than its factorization.

443980368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 443980368 is about 21070.8416538116. The cubic root of 443980368 is about 762.8771184073.

The spelling of 443980368 in words is "four hundred forty-three million, nine hundred eighty thousand, three hundred sixty-eight".