442240344 has 256 divisors, whose sum is σ = 1532160000. Its totient is φ = 115084800.

The previous prime is 442240283. The next prime is 442240349. The reversal of 442240344 is 443042244.

It is a happy number.

It is a super-2 number, since 2×442240344² = 391153043722476672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442240349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2928669 + ... + 2928819.

It is an arithmetic number, because the mean of its divisors is an integer number (5985000).

Almost surely, 2^442240344 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 442240344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080000).

442240344 is an abundant number, since it is smaller than the sum of its proper divisors (1089919656).

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

442240344 is a wasteful number, since it uses less digits than its factorization.

442240344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 442240344 is about 21029.5112639357. The cubic root of 442240344 is about 761.8792046105.

Adding to 442240344 its reverse (443042244), we get a palindrome (885282588).

The spelling of 442240344 in words is "four hundred forty-two million, two hundred forty thousand, three hundred forty-four".