416410564 has 24 divisors (see below), whose sum is σ = 734801760. Its totient is φ = 206474304.

The previous prime is 416410531. The next prime is 416410567. The reversal of 416410564 is 465014614.

It is not an unprimeable number, because it can be changed into a prime (416410567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402592 + ... + 403624.

It is an arithmetic number, because the mean of its divisors is an integer number (30616740).

Almost surely, 2^416410564 is an apocalyptic number.

It is an amenable number.

416410564 is a deficient number, since it is larger than the sum of its proper divisors (318391196).

416410564 is a wasteful number, since it uses less digits than its factorization.

416410564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 416410564 is about 20406.1403503945. The cubic root of 416410564 is about 746.7477331023.

The spelling of 416410564 in words is "four hundred sixteen million, four hundred ten thousand, five hundred sixty-four".