406116361 has 12 divisors (see below), whose sum is σ = 475877268. Its totient is φ = 345553152.

The previous prime is 406116287. The next prime is 406116371. The reversal of 406116361 is 163611604.

It can be written as a sum of positive squares in 2 ways, for example, as 321126400 + 84989961 = 17920^2 + 9219^2 .

It is not a de Polignac number, because 406116361 - 2²⁵ = 372561929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406116371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23536 + ... + 36961.

It is an arithmetic number, because the mean of its divisors is an integer number (39656439).

Almost surely, 2^406116361 is an apocalyptic number.

It is an amenable number.

406116361 is a deficient number, since it is larger than the sum of its proper divisors (69760907).

406116361 is a wasteful number, since it uses less digits than its factorization.

406116361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60648 (or 60641 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 406116361 is about 20152.3289224844. The cubic root of 406116361 is about 740.5427969107.

Adding to 406116361 its reverse (163611604), we get a palindrome (569727965).

The spelling of 406116361 in words is "four hundred six million, one hundred sixteen thousand, three hundred sixty-one".