406712727 has 24 divisors (see below), whose sum is σ = 619360560. Its totient is φ = 256469760.

The previous prime is 406712659. The next prime is 406712737. The reversal of 406712727 is 727217604.

It is a happy number.

It is not a de Polignac number, because 406712727 - 2⁷ = 406712599 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 406712691 and 406712700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406712737) 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 23 ways as a sum of consecutive naturals, for example, 138943 + ... + 141839.

It is an arithmetic number, because the mean of its divisors is an integer number (25806690).

Almost surely, 2^406712727 is an apocalyptic number.

406712727 is a deficient number, since it is larger than the sum of its proper divisors (212647833).

406712727 is a wasteful number, since it uses less digits than its factorization.

406712727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 406712727 is about 20167.1199480739. The cubic root of 406712727 is about 740.9051056723.

The spelling of 406712727 in words is "four hundred six million, seven hundred twelve thousand, seven hundred twenty-seven".