852444 has 36 divisors (see below), whose sum is σ = 2237144. Its totient is φ = 283824.

The previous prime is 852437. The next prime is 852457. The reversal of 852444 is 444258.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534 + ... + 1410.

2⁸⁵²⁴⁴⁴ 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 852444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118572).

852444 is an abundant number, since it is smaller than the sum of its proper divisors (1384700).

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

852444 is a wasteful number, since it uses less digits than its factorization.

852444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 882 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 852444 is about 923.2789394327. The cubic root of 852444 is about 94.8175260018.

It can be divided in two parts, 852 and 444, that added together give a 4-th power (1296 = 6⁴).

The spelling of 852444 in words is "eight hundred fifty-two thousand, four hundred forty-four".