442164 has 12 divisors (see below), whose sum is σ = 1031744. Its totient is φ = 147384.

The previous prime is 442157. The next prime is 442171. The reversal of 442164 is 461244.

It is an interprime number because it is at equal distance from previous prime (442157) and next prime (442171).

It is a tau number, because it is divible by the number of its divisors (12).

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

It is a self number, because there is not a number n which added to its sum of digits gives 442164.

It is a congruent number.

It is an unprimeable number.

442164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18412 + ... + 18435.

2⁴⁴²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

442164 is an abundant number, since it is smaller than the sum of its proper divisors (589580).

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

442164 is a wasteful number, since it uses less digits than its factorization.

442164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36854 (or 36852 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 442164 is about 664.9541337566. The cubic root of 442164 is about 76.1835360990.

It can be divided in two parts, 442 and 164, that added together give a palindrome (606).

The spelling of 442164 in words is "four hundred forty-two thousand, one hundred sixty-four".