416540393 has 2 divisors, whose sum is σ = 416540394. Its totient is φ = 416540392.

The previous prime is 416540357. The next prime is 416540431. The reversal of 416540393 is 393045614.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 343472089 + 73068304 = 18533^2 + 8548^2 .

It is a cyclic number.

It is not a de Polignac number, because 416540393 - 2²⁶ = 349431529 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (416540323) 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 as a sum of consecutive naturals, namely, 208270196 + 208270197.

It is an arithmetic number, because the mean of its divisors is an integer number (208270197).

Almost surely, 2^416540393 is an apocalyptic number.

It is an amenable number.

416540393 is a deficient number, since it is larger than the sum of its proper divisors (1).

416540393 is an equidigital number, since it uses as much as digits as its factorization.

416540393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 416540393 is about 20409.3212283015. The cubic root of 416540393 is about 746.8253323484.

The spelling of 416540393 in words is "four hundred sixteen million, five hundred forty thousand, three hundred ninety-three".