443472274344 has 96 divisors (see below), whose sum is σ = 1219079916000. Its totient is φ = 133326103680.

The previous prime is 443472274319. The next prime is 443472274369.

443472274344 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (443472274319) and next prime (443472274369).

It is a super-2 number, since 2×443472274344² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 443472274293 and 443472274302.

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, 4205982 + ... + 4310130.

It is an arithmetic number, because the mean of its divisors is an integer number (12698749125).

Almost surely, 2^443472274344 is an apocalyptic number.

443472274344 is a gapful number since it is divisible by the number (44) 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 443472274344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609539958000).

443472274344 is an abundant number, since it is smaller than the sum of its proper divisors (775607641656).

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

443472274344 is a wasteful number, since it uses less digits than its factorization.

443472274344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104423 (or 104292 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 48.

The spelling of 443472274344 in words is "four hundred forty-three billion, four hundred seventy-two million, two hundred seventy-four thousand, three hundred forty-four".