444164 has 24 divisors (see below), whose sum is σ = 920640. Its totient is φ = 183456.

The previous prime is 444151. The next prime is 444167. The reversal of 444164 is 461444.

444164 is nontrivially palindromic in base 3.

It is not an unprimeable number, because it can be changed into a prime (444167) by changing a digit.

444164 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 7 ways as a sum of consecutive naturals, for example, 539 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (38360).

2⁴⁴⁴¹⁶⁴ 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 444164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460320).

444164 is an abundant number, since it is smaller than the sum of its proper divisors (476476).

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

444164 is a wasteful number, since it uses less digits than its factorization.

444164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 585 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 444164 is about 666.4563001428. The cubic root of 444164 is about 76.2982280221.

The spelling of 444164 in words is "four hundred forty-four thousand, one hundred sixty-four".