406214145 has 24 divisors (see below), whose sum is σ = 705018600. Its totient is φ = 216366336.

The previous prime is 406214141. The next prime is 406214147. The reversal of 406214145 is 541412604.

406214145 is a `hidden beast` number, since 406 + 214 + 1 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1238769 + 404975376 = 1113^2 + 20124^2 .

It is not a de Polignac number, because 406214145 - 2² = 406214141 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (406214141) 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 23 ways as a sum of consecutive naturals, for example, 31861 + ... + 42749.

It is an arithmetic number, because the mean of its divisors is an integer number (29375775).

Almost surely, 2^406214145 is an apocalyptic number.

406214145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406214145 is a deficient number, since it is larger than the sum of its proper divisors (298804455).

406214145 is a wasteful number, since it uses less digits than its factorization.

406214145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729 (or 11726 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 406214145 is about 20154.7548980383. The cubic root of 406214145 is about 740.6022276820.

Adding to 406214145 its reverse (541412604), we get a palindrome (947626749).

The spelling of 406214145 in words is "four hundred six million, two hundred fourteen thousand, one hundred forty-five".