406777 has 4 divisors (see below), whose sum is σ = 464896. Its totient is φ = 348660.

The previous prime is 406739. The next prime is 406789. The reversal of 406777 is 777604.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 406777 - 2⁷ = 406649 is a prime.

It is a d-powerful number, because it can be written as 4⁹ + 0 + 7⁴ + 6⁵ + 7⁵ + 7⁶ .

It is a Duffinian number.

406777 is a modest number, since divided by 777 gives 406 as remainder.

It is not an unprimeable number, because it can be changed into a prime (406717) 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 3 ways as a sum of consecutive naturals, for example, 29049 + ... + 29062.

It is an arithmetic number, because the mean of its divisors is an integer number (116224).

2⁴⁰⁶⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

406777 is a deficient number, since it is larger than the sum of its proper divisors (58119).

406777 is an equidigital number, since it uses as much as digits as its factorization.

406777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58118.

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 406777 is about 637.7907180259. The cubic root of 406777 is about 74.0944132142.

The spelling of 406777 in words is "four hundred six thousand, seven hundred seventy-seven".