405285 has 16 divisors (see below), whose sum is σ = 665280. Its totient is φ = 210560.

The previous prime is 405277. The next prime is 405287. The reversal of 405285 is 582504.

It is not a de Polignac number, because 405285 - 2³ = 405277 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 405285.

It is not an unprimeable number, because it can be changed into a prime (405287) 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, 286 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2⁴⁰⁵²⁸⁵ is an apocalyptic number.

It is an amenable number.

405285 is a deficient number, since it is larger than the sum of its proper divisors (259995).

405285 is a wasteful number, since it uses less digits than its factorization.

405285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 405285 is about 636.6199808363. The cubic root of 405285 is about 74.0037129863.

Adding to 405285 its reverse (582504), we get a palindrome (987789).

The spelling of 405285 in words is "four hundred five thousand, two hundred eighty-five".