442711008 has 216 divisors, whose sum is σ = 1393944552. Its totient is φ = 138184704.

The previous prime is 442710997. The next prime is 442711051. The reversal of 442711008 is 800117244.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2247166 + ... + 2247362.

It is an arithmetic number, because the mean of its divisors is an integer number (6453447).

Almost surely, 2^442711008 is an apocalyptic number.

442711008 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 442711008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696972276).

442711008 is an abundant number, since it is smaller than the sum of its proper divisors (951233544).

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

442711008 is a wasteful number, since it uses less digits than its factorization.

442711008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 442711008 is about 21040.6988477094. The cubic root of 442711008 is about 762.1493910086.

The spelling of 442711008 in words is "four hundred forty-two million, seven hundred eleven thousand, eight".