406713141 has 12 divisors (see below), whose sum is σ = 587651532. Its totient is φ = 271060416.

The previous prime is 406713127. The next prime is 406713157. The reversal of 406713141 is 141317604.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24354225 + 382358916 = 4935^2 + 19554^2 .

It is not a de Polignac number, because 406713141 - 2⁶ = 406713077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406713191) 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 11 ways as a sum of consecutive naturals, for example, 47695 + ... + 55571.

It is an arithmetic number, because the mean of its divisors is an integer number (48970961).

Almost surely, 2^406713141 is an apocalyptic number.

It is an amenable number.

406713141 is a deficient number, since it is larger than the sum of its proper divisors (180938391).

406713141 is a wasteful number, since it uses less digits than its factorization.

406713141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13620 (or 13617 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 406713141 is about 20167.1302123034. The cubic root of 406713141 is about 740.9053570656.

The spelling of 406713141 in words is "four hundred six million, seven hundred thirteen thousand, one hundred forty-one".