407085 has 16 divisors (see below), whose sum is σ = 744576. Its totient is φ = 186048.

The previous prime is 407083. The next prime is 407119. The reversal of 407085 is 580704.

It is not a de Polignac number, because 407085 - 2¹ = 407083 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407085.

It is not an unprimeable number, because it can be changed into a prime (407083) 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, 1834 + ... + 2043.

It is an arithmetic number, because the mean of its divisors is an integer number (46536).

2⁴⁰⁷⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

407085 is a deficient number, since it is larger than the sum of its proper divisors (337491).

407085 is a wasteful number, since it uses less digits than its factorization.

407085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 407085 is about 638.0321308524. The cubic root of 407085 is about 74.1131092252.

Adding to 407085 its reverse (580704), we get a palindrome (987789).

The spelling of 407085 in words is "four hundred seven thousand, eighty-five".