442484244 has 72 divisors (see below), whose sum is σ = 1143029160. Its totient is φ = 144294912.

The previous prime is 442484243. The next prime is 442484249.

442484244 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 230432400 + 212051844 = 15180^2 + 14562^2 .

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 = 442484199 and 442484208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442484243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359422 + ... + 360650.

It is an arithmetic number, because the mean of its divisors is an integer number (15875405).

Almost surely, 2^442484244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442484244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571514580).

442484244 is an abundant number, since it is smaller than the sum of its proper divisors (700544916).

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

442484244 is a wasteful number, since it uses less digits than its factorization.

442484244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1444 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The square root of 442484244 is about 21035.3094581468. The cubic root of 442484244 is about 762.0192402193.

The spelling of 442484244 in words is "four hundred forty-two million, four hundred eighty-four thousand, two hundred forty-four".