416211660 has 72 divisors (see below), whose sum is σ = 1268292480. Its totient is φ = 110481408.

The previous prime is 416211643. The next prime is 416211667. The reversal of 416211660 is 66112614.

It is not an unprimeable number, because it can be changed into a prime (416211667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34956 + ... + 45324.

Almost surely, 2^416211660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416211660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634146240).

416211660 is an abundant number, since it is smaller than the sum of its proper divisors (852080820).

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

416211660 is a wasteful number, since it uses less digits than its factorization.

416211660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10607 (or 10602 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 416211660 is about 20401.2661371788. The cubic root of 416211660 is about 746.6288161971.

The spelling of 416211660 in words is "four hundred sixteen million, two hundred eleven thousand, six hundred sixty".