416264661 has 12 divisors (see below), whose sum is σ = 602008992. Its totient is φ = 277169256.

The previous prime is 416264657. The next prime is 416264663. The reversal of 416264661 is 166462614.

416264661 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 646 + 6 + 1 = 666.

It is not a de Polignac number, because 416264661 - 2² = 416264657 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416264663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20521 + ... + 35406.

It is an arithmetic number, because the mean of its divisors is an integer number (50167416).

Almost surely, 2^416264661 is an apocalyptic number.

It is an amenable number.

416264661 is a deficient number, since it is larger than the sum of its proper divisors (185744331).

416264661 is a wasteful number, since it uses less digits than its factorization.

416264661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56760 (or 56757 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 416264661 is about 20402.5650593253. The cubic root of 416264661 is about 746.6605071195.

The spelling of 416264661 in words is "four hundred sixteen million, two hundred sixty-four thousand, six hundred sixty-one".