406688779 has 12 divisors (see below), whose sum is σ = 489402000. Its totient is φ = 336568848.

The previous prime is 406688743. The next prime is 406688801. The reversal of 406688779 is 977886604.

It is not a de Polignac number, because 406688779 - 2⁷ = 406688651 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406688729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141679 + ... + 144520.

It is an arithmetic number, because the mean of its divisors is an integer number (40783500).

Almost surely, 2^406688779 is an apocalyptic number.

406688779 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

406688779 is a deficient number, since it is larger than the sum of its proper divisors (82713221).

406688779 is a wasteful number, since it uses less digits than its factorization.

406688779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286242 (or 286235 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The square root of 406688779 is about 20166.5262006127. The cubic root of 406688779 is about 740.8905634311.

The spelling of 406688779 in words is "four hundred six million, six hundred eighty-eight thousand, seven hundred seventy-nine".