442442016 has 36 divisors (see below), whose sum is σ = 1258195302. Its totient is φ = 147480576.

The previous prime is 442441991. The next prime is 442442023. The reversal of 442442016 is 610244244.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 408848400 + 33593616 = 20220^2 + 5796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 767841 + ... + 768416.

Almost surely, 2^442442016 is an apocalyptic number.

It is an amenable number.

442442016 is an abundant number, since it is smaller than the sum of its proper divisors (815753286).

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

442442016 is a wasteful number, since it uses less digits than its factorization.

442442016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536273 (or 1536262 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 442442016 is about 21034.3056933192. The cubic root of 442442016 is about 761.9949986238.

The spelling of 442442016 in words is "four hundred forty-two million, four hundred forty-two thousand, sixteen".