820446 has 32 divisors (see below), whose sum is σ = 1852416. Its totient is φ = 240000.

The previous prime is 820441. The next prime is 820459. The reversal of 820446 is 644028.

820446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1846 + ... + 2246.

It is an arithmetic number, because the mean of its divisors is an integer number (57888).

2⁸²⁰⁴⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926208).

820446 is an abundant number, since it is smaller than the sum of its proper divisors (1031970).

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

820446 is a wasteful number, since it uses less digits than its factorization.

820446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 820446 is about 905.7847426403. The cubic root of 820446 is about 93.6159827335.

The spelling of 820446 in words is "eight hundred twenty thousand, four hundred forty-six".