442946166 has 64 divisors (see below), whose sum is σ = 1011634176. Its totient is φ = 128304000.

The previous prime is 442946159. The next prime is 442946173. The reversal of 442946166 is 661649244.

It is an interprime number because it is at equal distance from previous prime (442946159) and next prime (442946173).

It is a super-4 number, since 4×442946166⁴ (a number of 36 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

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, 86991 + ... + 91941.

It is an arithmetic number, because the mean of its divisors is an integer number (15806784).

Almost surely, 2^442946166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442946166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505817088).

442946166 is an abundant number, since it is smaller than the sum of its proper divisors (568688010).

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

442946166 is a wasteful number, since it uses less digits than its factorization.

442946166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037.

The product of its digits is 248832, while the sum is 42.

The square root of 442946166 is about 21046.2862757305. The cubic root of 442946166 is about 762.2843125859.

The spelling of 442946166 in words is "four hundred forty-two million, nine hundred forty-six thousand, one hundred sixty-six".