406400306 has 8 divisors (see below), whose sum is σ = 656492844. Its totient is φ = 187569360.

The previous prime is 406400303. The next prime is 406400311. The reversal of 406400306 is 603004604.

It can be written as a sum of positive squares in 2 ways, for example, as 405418225 + 982081 = 20135^2 + 991^2 .

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

It is a super-2 number, since 2×406400306² = 330322417433787272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406400303) 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 3 ways as a sum of consecutive naturals, for example, 7815365 + ... + 7815416.

Almost surely, 2^406400306 is an apocalyptic number.

406400306 is a deficient number, since it is larger than the sum of its proper divisors (250092538).

406400306 is a wasteful number, since it uses less digits than its factorization.

406400306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15630796.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 406400306 is about 20159.3726588900. The cubic root of 406400306 is about 740.7153455182.

The spelling of 406400306 in words is "four hundred six million, four hundred thousand, three hundred six".