442441984 has 72 divisors (see below), whose sum is σ = 929218752. Its totient is φ = 209848320.

The previous prime is 442441943. The next prime is 442441991. The reversal of 442441984 is 489144244.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 959514 + ... + 959974.

It is an arithmetic number, because the mean of its divisors is an integer number (12905816).

Almost surely, 2^442441984 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 442441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464609376).

442441984 is an abundant number, since it is smaller than the sum of its proper divisors (486776768).

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

442441984 is a wasteful number, since it uses less digits than its factorization.

442441984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 649 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 442441984 is about 21034.3049326570. The cubic root of 442441984 is about 761.9949802532.

The spelling of 442441984 in words is "four hundred forty-two million, four hundred forty-one thousand, nine hundred eighty-four".