449085 has 48 divisors (see below), whose sum is σ = 919296. Its totient is φ = 185472.

The previous prime is 449083. The next prime is 449093. The reversal of 449085 is 580944.

449085 = 13² + 14² + ... + 110².

It is not a de Polignac number, because 449085 - 2¹ = 449083 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

449085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9532 + ... + 9578.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2⁴⁴⁹⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

449085 is an abundant number, since it is smaller than the sum of its proper divisors (470211).

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

449085 is a wasteful number, since it uses less digits than its factorization.

449085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 449085 is about 670.1380454802. The cubic root of 449085 is about 76.5789692462.

The spelling of 449085 in words is "four hundred forty-nine thousand, eighty-five".