406828317 has 16 divisors (see below), whose sum is σ = 620767872. Its totient is φ = 232158720.

The previous prime is 406828313. The next prime is 406828321. The reversal of 406828317 is 713828604.

It is an interprime number because it is at equal distance from previous prime (406828313) and next prime (406828321).

It is not a de Polignac number, because 406828317 - 2² = 406828313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406828313) 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 15 ways as a sum of consecutive naturals, for example, 3253 + ... + 28709.

It is an arithmetic number, because the mean of its divisors is an integer number (38797992).

Almost surely, 2^406828317 is an apocalyptic number.

It is an amenable number.

406828317 is a deficient number, since it is larger than the sum of its proper divisors (213939555).

406828317 is a wasteful number, since it uses less digits than its factorization.

406828317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26228.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 406828317 is about 20169.9855478382. The cubic root of 406828317 is about 740.9752887962.

It can be divided in two parts, 4068 and 28317, that added together give a triangular number (32385 = T₂₅₄).

The spelling of 406828317 in words is "four hundred six million, eight hundred twenty-eight thousand, three hundred seventeen".