442927008 has 192 divisors, whose sum is σ = 1393459200. Its totient is φ = 136477440.

The previous prime is 442927003. The next prime is 442927057. The reversal of 442927008 is 800729244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442927003) 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 31 ways as a sum of consecutive naturals, for example, 615673 + ... + 616391.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2^442927008 is an apocalyptic number.

442927008 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 442927008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

442927008 is an abundant number, since it is smaller than the sum of its proper divisors (950532192).

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

442927008 is a wasteful number, since it uses less digits than its factorization.

442927008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 442927008 is about 21045.8311311290. The cubic root of 442927008 is about 762.2733224968.

The spelling of 442927008 in words is "four hundred forty-two million, nine hundred twenty-seven thousand, eight".