410416349 has 8 divisors (see below), whose sum is σ = 469177728. Its totient is φ = 351687600.

The previous prime is 410416343. The next prime is 410416379. The reversal of 410416349 is 943614014.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 410416349 - 2⁴ = 410416333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410416343) 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 7 ways as a sum of consecutive naturals, for example, 31979 + ... + 42935.

It is an arithmetic number, because the mean of its divisors is an integer number (58647216).

Almost surely, 2^410416349 is an apocalyptic number.

It is an amenable number.

410416349 is a deficient number, since it is larger than the sum of its proper divisors (58761379).

410416349 is a wasteful number, since it uses less digits than its factorization.

410416349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16315.

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 410416349 is about 20258.7351283341. The cubic root of 410416349 is about 743.1472657053.

The spelling of 410416349 in words is "four hundred ten million, four hundred sixteen thousand, three hundred forty-nine".