410816349 has 12 divisors (see below), whose sum is σ = 613863900. Its totient is φ = 264433344.

The previous prime is 410816327. The next prime is 410816377. The reversal of 410816349 is 943618014.

410816349 is a `hidden beast` number, since 4 + 10 + 8 + 1 + 634 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75377124 + 335439225 = 8682^2 + 18315^2 .

It is not a de Polignac number, because 410816349 - 2⁸ = 410816093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410816249) 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 11 ways as a sum of consecutive naturals, for example, 786744 + ... + 787265.

It is an arithmetic number, because the mean of its divisors is an integer number (51155325).

Almost surely, 2^410816349 is an apocalyptic number.

It is an amenable number.

410816349 is a deficient number, since it is larger than the sum of its proper divisors (203047551).

410816349 is a wasteful number, since it uses less digits than its factorization.

410816349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574044 (or 1574041 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 410816349 is about 20268.6050087321. The cubic root of 410816349 is about 743.3886160542.

The spelling of 410816349 in words is "four hundred ten million, eight hundred sixteen thousand, three hundred forty-nine".