406977 has 8 divisors (see below), whose sum is σ = 545664. Its totient is φ = 269808.

The previous prime is 406969. The next prime is 406981. The reversal of 406977 is 779604.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 406977 - 2³ = 406969 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406977.

It is not an unprimeable number, because it can be changed into a prime (406907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 648 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (68208).

2⁴⁰⁶⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

406977 is a deficient number, since it is larger than the sum of its proper divisors (138687).

406977 is a wasteful number, since it uses less digits than its factorization.

406977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 406977 is about 637.9474900021. The cubic root of 406977 is about 74.1065545550.

It can be divided in two parts, 40697 and 7, that added together give a palindrome (40704).

The spelling of 406977 in words is "four hundred six thousand, nine hundred seventy-seven".