846352 has 30 divisors (see below), whose sum is σ = 1781322. Its totient is φ = 389376.

The previous prime is 846343. The next prime is 846353. The reversal of 846352 is 253648.

846352 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 3 ways, for example, as 99856 + 746496 = 316^2 + 864^2 .

It is a d-powerful number, because it can be written as 8⁶ + 4² + 3¹¹ + 6² + 5⁸ + 2¹⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 846352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2548 + ... + 2860.

2⁸⁴⁶³⁵² 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 846352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890661).

846352 is an abundant number, since it is smaller than the sum of its proper divisors (934970).

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

846352 is a wasteful number, since it uses less digits than its factorization.

846352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 846352 is about 919.9739126736. The cubic root of 846352 is about 94.5911143092.

Subtracting from 846352 its reverse (253648), we obtain a cube (592704 = 84³).

It can be divided in two parts, 8463 and 52, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 846352 in words is "eight hundred forty-six thousand, three hundred fifty-two".