416088561 has 32 divisors (see below), whose sum is σ = 663644160. Its totient is φ = 226727424.

The previous prime is 416088553. The next prime is 416088571. The reversal of 416088561 is 165880614.

It is not a de Polignac number, because 416088561 - 2³ = 416088553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416088571) 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 31 ways as a sum of consecutive naturals, for example, 181921 + ... + 184193.

It is an arithmetic number, because the mean of its divisors is an integer number (20738880).

Almost surely, 2^416088561 is an apocalyptic number.

It is an amenable number.

416088561 is a deficient number, since it is larger than the sum of its proper divisors (247555599).

416088561 is a wasteful number, since it uses less digits than its factorization.

416088561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685.

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 416088561 is about 20398.2489689679. The cubic root of 416088561 is about 746.5552011497. Note that the first 3 decimals are identical.

The spelling of 416088561 in words is "four hundred sixteen million, eighty-eight thousand, five hundred sixty-one".