416320993 has 16 divisors (see below), whose sum is σ = 461039040. Its totient is φ = 372787200.

The previous prime is 416320991. The next prime is 416321023. The reversal of 416320993 is 399023614.

It is a cyclic number.

It is not a de Polignac number, because 416320993 - 2¹ = 416320991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416320991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256338 + ... + 257956.

It is an arithmetic number, because the mean of its divisors is an integer number (28814940).

Almost surely, 2^416320993 is an apocalyptic number.

It is an amenable number.

416320993 is a deficient number, since it is larger than the sum of its proper divisors (44718047).

416320993 is a wasteful number, since it uses less digits than its factorization.

416320993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968.

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 416320993 is about 20403.9455253145. The cubic root of 416320993 is about 746.6941868001.

The spelling of 416320993 in words is "four hundred sixteen million, three hundred twenty thousand, nine hundred ninety-three".