442275008 has 112 divisors (see below), whose sum is σ = 1065093120. Its totient is φ = 177997824.

The previous prime is 442275007. The next prime is 442275011. The reversal of 442275008 is 800572244.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (442275007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1898060 + ... + 1898292.

It is an arithmetic number, because the mean of its divisors is an integer number (9509760).

Almost surely, 2^442275008 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 442275008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532546560).

442275008 is an abundant number, since it is smaller than the sum of its proper divisors (622818112).

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

442275008 is a wasteful number, since it uses less digits than its factorization.

442275008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 442275008 is about 21030.3354229075. The cubic root of 442275008 is about 761.8991101446.

The spelling of 442275008 in words is "four hundred forty-two million, two hundred seventy-five thousand, eight".