442206 has 32 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 139320.

The previous prime is 442201. The next prime is 442207. The reversal of 442206 is 602244.

It is a super-2 number, since 2×442206² = 391092292872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442201) 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, 811 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁴⁴²²⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

442206 is an abundant number, since it is smaller than the sum of its proper divisors (594594).

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

442206 is a wasteful number, since it uses less digits than its factorization.

442206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 442206 is about 664.9857141323. The cubic root of 442206 is about 76.1859481808.

The spelling of 442206 in words is "four hundred forty-two thousand, two hundred six".