446820 has 48 divisors (see below), whose sum is σ = 1366848. Its totient is φ = 108160.

The previous prime is 446819. The next prime is 446827. The reversal of 446820 is 28644.

446820 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×446820² = 399296224800, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 446820.

It is not an unprimeable number, because it can be changed into a prime (446827) 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, 322 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (28476).

2⁴⁴⁶⁸²⁰ 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 446820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683424).

446820 is an abundant number, since it is smaller than the sum of its proper divisors (920028).

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

446820 is a wasteful number, since it uses less digits than its factorization.

446820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 698 counting only the distinct ones).

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

The square root of 446820 is about 668.4459589226. The cubic root of 446820 is about 76.4500079204.

The spelling of 446820 in words is "four hundred forty-six thousand, eight hundred twenty".