446985 has 64 divisors (see below), whose sum is σ = 1013760. Its totient is φ = 181440.

The previous prime is 446983. The next prime is 447001. The reversal of 446985 is 589644.

446985 = T₉₉ + T₁₀₀ + ... + T₁₅₃.

446985 is a nontrivial binomial coefficient, being equal to C(946, 2).

It is not a de Polignac number, because 446985 - 2¹ = 446983 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 446985.

It is not an unprimeable number, because it can be changed into a prime (446983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10374 + ... + 10416.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2⁴⁴⁶⁹⁸⁵ is an apocalyptic number.

446985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

446985 is the 945-th triangular number and also the 473-rd hexagonal number.

It is an amenable number.

446985 is an abundant number, since it is smaller than the sum of its proper divisors (566775).

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

446985 is a wasteful number, since it uses less digits than its factorization.

446985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 446985 is about 668.5693681287. The cubic root of 446985 is about 76.4594171523.

It can be divided in two parts, 4469 and 85, that added together give a palindrome (4554).

The spelling of 446985 in words is "four hundred forty-six thousand, nine hundred eighty-five".