406261791 has 32 divisors (see below), whose sum is σ = 650711040. Its totient is φ = 249026400.

The previous prime is 406261777. The next prime is 406261831. The reversal of 406261791 is 197162604.

It is not a de Polignac number, because 406261791 - 2⁵ = 406261759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406261741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92986 + ... + 97256.

It is an arithmetic number, because the mean of its divisors is an integer number (20334720).

Almost surely, 2^406261791 is an apocalyptic number.

406261791 is a deficient number, since it is larger than the sum of its proper divisors (244449249).

406261791 is a wasteful number, since it uses less digits than its factorization.

406261791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 406261791 is about 20155.9368673351. The cubic root of 406261791 is about 740.6311823230.

The spelling of 406261791 in words is "four hundred six million, two hundred sixty-one thousand, seven hundred ninety-one".