416742193 has 8 divisors (see below), whose sum is σ = 484349760. Its totient is φ = 351152880.

The previous prime is 416742191. The next prime is 416742203. The reversal of 416742193 is 391247614.

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 416742193 - 2¹ = 416742191 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416742191) 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, 504118 + ... + 504943.

It is an arithmetic number, because the mean of its divisors is an integer number (60543720).

Almost surely, 2^416742193 is an apocalyptic number.

It is an amenable number.

416742193 is a deficient number, since it is larger than the sum of its proper divisors (67607567).

416742193 is a wasteful number, since it uses less digits than its factorization.

416742193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009127.

The product of its digits is 36288, while the sum is 37.

The square root of 416742193 is about 20414.2644491542. The cubic root of 416742193 is about 746.9459169089.

It can be divided in two parts, 4167 and 42193, that added together give a triangular number (46360 = T₃₀₄).

The spelling of 416742193 in words is "four hundred sixteen million, seven hundred forty-two thousand, one hundred ninety-three".