406815 has 16 divisors (see below), whose sum is σ = 669408. Its totient is φ = 210816.

The previous prime is 406811. The next prime is 406817. The reversal of 406815 is 518604.

It is not a de Polignac number, because 406815 - 2² = 406811 is a prime.

406815 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (41838).

2⁴⁰⁶⁸¹⁵ is an apocalyptic number.

406815 is a deficient number, since it is larger than the sum of its proper divisors (262593).

406815 is a wasteful number, since it uses less digits than its factorization.

406815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 406815 is about 637.8205076665. The cubic root of 406815 is about 74.0967203751.

It can be divided in two parts, 406 and 815, that added together give a palindrome (1221).

The spelling of 406815 in words is "four hundred six thousand, eight hundred fifteen".