406505979 has 32 divisors (see below), whose sum is σ = 685555200. Its totient is φ = 235651680.

The previous prime is 406505977. The next prime is 406505999. The reversal of 406505979 is 979505604.

It is a happy number.

406505979 is a `hidden beast` number, since 4 + 0 + 6 + 50 + 597 + 9 = 666.

It is not a de Polignac number, because 406505979 - 2¹ = 406505977 is a prime.

It is a super-2 number, since 2×406505979² = 330494221925496882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406505977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22924 + ... + 36585.

It is an arithmetic number, because the mean of its divisors is an integer number (21423600).

Almost surely, 2^406505979 is an apocalyptic number.

406505979 is a deficient number, since it is larger than the sum of its proper divisors (279049221).

406505979 is a wasteful number, since it uses less digits than its factorization.

406505979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59552 (or 59546 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 406505979 is about 20161.9934282303. The cubic root of 406505979 is about 740.7795407040.

The spelling of 406505979 in words is "four hundred six million, five hundred five thousand, nine hundred seventy-nine".