442818012 has 192 divisors, whose sum is σ = 1335885824. Its totient is φ = 111041280.

The previous prime is 442818007. The next prime is 442818049. The reversal of 442818012 is 210818244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3486693 + ... + 3486819.

Almost surely, 2^442818012 is an apocalyptic number.

442818012 is a gapful number since it is divisible by the number (42) 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 442818012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667942912).

442818012 is an abundant number, since it is smaller than the sum of its proper divisors (893067812).

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

442818012 is a wasteful number, since it uses less digits than its factorization.

442818012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 442818012 is about 21043.2414803423. The cubic root of 442818012 is about 762.2107903281.

The spelling of 442818012 in words is "four hundred forty-two million, eight hundred eighteen thousand, twelve".