846450 has 120 divisors (see below), whose sum is σ = 2700720. Its totient is φ = 194400.

The previous prime is 846437. The next prime is 846457. The reversal of 846450 is 54648.

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

It is not an unprimeable number, because it can be changed into a prime (846457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44541 + ... + 44559.

It is an arithmetic number, because the mean of its divisors is an integer number (22506).

2⁸⁴⁶⁴⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350360).

846450 is an abundant number, since it is smaller than the sum of its proper divisors (1854270).

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

846450 is a wasteful number, since it uses less digits than its factorization.

846450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 846450 is about 920.0271735117. The cubic root of 846450 is about 94.5947651036.

It can be divided in two parts, 846 and 450, that added together give a 4-th power (1296 = 6⁴).

The spelling of 846450 in words is "eight hundred forty-six thousand, four hundred fifty".