442945608 has 128 divisors (see below), whose sum is σ = 1383505920. Its totient is φ = 115246080.

The previous prime is 442945549. The next prime is 442945619. The reversal of 442945608 is 806549244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 442945608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86035 + ... + 91037.

It is an arithmetic number, because the mean of its divisors is an integer number (10808640).

Almost surely, 2^442945608 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 442945608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691752960).

442945608 is an abundant number, since it is smaller than the sum of its proper divisors (940560312).

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

442945608 is a wasteful number, since it uses less digits than its factorization.

442945608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 442945608 is about 21046.2730192307. The cubic root of 442945608 is about 762.2839924907.

The spelling of 442945608 in words is "four hundred forty-two million, nine hundred forty-five thousand, six hundred eight".