416961564 has 12 divisors (see below), whose sum is σ = 972910344. Its totient is φ = 138987184.

The previous prime is 416961541. The next prime is 416961577. The reversal of 416961564 is 465169614.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 17373387 + ... + 17373410.

It is an arithmetic number, because the mean of its divisors is an integer number (81075862).

Almost surely, 2^416961564 is an apocalyptic number.

It is an amenable number.

416961564 is an abundant number, since it is smaller than the sum of its proper divisors (555948780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416961564 is a wasteful number, since it uses less digits than its factorization.

416961564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34746804 (or 34746802 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 416961564 is about 20419.6367254660. The cubic root of 416961564 is about 747.0769567800.

The spelling of 416961564 in words is "four hundred sixteen million, nine hundred sixty-one thousand, five hundred sixty-four".