416416491 has 16 divisors (see below), whose sum is σ = 625605120. Its totient is φ = 273699720.

The previous prime is 416416487. The next prime is 416416499. The reversal of 416416491 is 194614614.

416416491 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 1 + 649 + 1 = 666.

It is not a de Polignac number, because 416416491 - 2² = 416416487 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416416499) 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, 106695 + ... + 110528.

It is an arithmetic number, because the mean of its divisors is an integer number (39100320).

Almost surely, 2^416416491 is an apocalyptic number.

416416491 is a deficient number, since it is larger than the sum of its proper divisors (209188629).

416416491 is a wasteful number, since it uses less digits than its factorization.

416416491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217303 (or 217297 counting only the distinct ones).

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

The square root of 416416491 is about 20406.2855757730. The cubic root of 416416491 is about 746.7512760422.

The spelling of 416416491 in words is "four hundred sixteen million, four hundred sixteen thousand, four hundred ninety-one".