442444244 has 36 divisors (see below), whose sum is σ = 901144692. Its totient is φ = 189277440.

The previous prime is 442444231. The next prime is 442444253.

442444244 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 326235844 + 116208400 = 18062^2 + 10780^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 442444244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18659 + ... + 35114.

It is an arithmetic number, because the mean of its divisors is an integer number (25031797).

Almost surely, 2^442444244 is an apocalyptic number.

442444244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442444244 is an abundant number, since it is smaller than the sum of its proper divisors (458700448).

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

442444244 is a wasteful number, since it uses less digits than its factorization.

442444244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53816 (or 53803 counting only the distinct ones).

The product of its digits is 65536, while the sum is 32.

The square root of 442444244 is about 21034.3586543541. The cubic root of 442444244 is about 761.9962776781.

The spelling of 442444244 in words is "four hundred forty-two million, four hundred forty-four thousand, two hundred forty-four".