405867 has 24 divisors (see below), whose sum is σ = 689472. Its totient is φ = 210000.

The previous prime is 405863. The next prime is 405869. The reversal of 405867 is 768504.

It is a happy number.

It is not a de Polignac number, because 405867 - 2² = 405863 is a prime.

405867 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405867.

It is not an unprimeable number, because it can be changed into a prime (405863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1492 + ... + 1742.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2⁴⁰⁵⁸⁶⁷ is an apocalyptic number.

405867 is a deficient number, since it is larger than the sum of its proper divisors (283605).

405867 is a wasteful number, since it uses less digits than its factorization.

405867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 405867 is about 637.0769184329. The cubic root of 405867 is about 74.0391198077.

The spelling of 405867 in words is "four hundred five thousand, eight hundred sixty-seven".