442163616 has 96 divisors (see below), whose sum is σ = 1198991808. Its totient is φ = 142571520.

The previous prime is 442163597. The next prime is 442163629. The reversal of 442163616 is 616361244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 997891 + ... + 998333.

It is an arithmetic number, because the mean of its divisors is an integer number (12489498).

Almost surely, 2^442163616 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 442163616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599495904).

442163616 is an abundant number, since it is smaller than the sum of its proper divisors (756828192).

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

442163616 is a wasteful number, since it uses less digits than its factorization.

442163616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 442163616 is about 21027.6868913345. The cubic root of 442163616 is about 761.8351404498.

The spelling of 442163616 in words is "four hundred forty-two million, one hundred sixty-three thousand, six hundred sixteen".