406849149 has 80 divisors (see below), whose sum is σ = 728323200. Its totient is φ = 221429376.

The previous prime is 406849129. The next prime is 406849153. The reversal of 406849149 is 941948604.

It is not a de Polignac number, because 406849149 - 2⁷ = 406849021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406849129) 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 79 ways as a sum of consecutive naturals, for example, 1792174 + ... + 1792400.

It is an arithmetic number, because the mean of its divisors is an integer number (9104040).

Almost surely, 2^406849149 is an apocalyptic number.

It is an amenable number.

406849149 is a deficient number, since it is larger than the sum of its proper divisors (321474051).

406849149 is a wasteful number, since it uses less digits than its factorization.

406849149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 406849149 is about 20170.5019521082. The cubic root of 406849149 is about 740.9879360097.

The spelling of 406849149 in words is "four hundred six million, eight hundred forty-nine thousand, one hundred forty-nine".