446664 has 32 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 144576.

The previous prime is 446657. The next prime is 446713. The reversal of 446664 is 466644.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

446664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637 + ... + 1139.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2⁴⁴⁶⁶⁶⁴ 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 446664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

446664 is an abundant number, since it is smaller than the sum of its proper divisors (702456).

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

446664 is a wasteful number, since it uses less digits than its factorization.

446664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 545 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 446664 is about 668.3292601705. The cubic root of 446664 is about 76.4411097888.

The spelling of 446664 in words is "four hundred forty-six thousand, six hundred sixty-four".