442918368 has 120 divisors (see below), whose sum is σ = 1315607832. Its totient is φ = 146168064.

The previous prime is 442918351. The next prime is 442918387. The reversal of 442918368 is 863819244.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 276546 + ... + 278142.

Almost surely, 2^442918368 is an apocalyptic number.

442918368 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 442918368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657803916).

442918368 is an abundant number, since it is smaller than the sum of its proper divisors (872689464).

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

442918368 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (442918367) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1726).

442918368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1709 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 442918368 is about 21045.6258638226. The cubic root of 442918368 is about 762.2683660110.

The spelling of 442918368 in words is "four hundred forty-two million, nine hundred eighteen thousand, three hundred sixty-eight".