418065664 has 144 divisors (see below), whose sum is σ = 950705280. Its totient is φ = 182476800.

The previous prime is 418065617. The next prime is 418065677. The reversal of 418065664 is 466560814.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4139214 + ... + 4139314.

It is an arithmetic number, because the mean of its divisors is an integer number (6602120).

Almost surely, 2^418065664 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 418065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475352640).

418065664 is an abundant number, since it is smaller than the sum of its proper divisors (532639616).

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

418065664 is a wasteful number, since it uses less digits than its factorization.

418065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 418065664 is about 20446.6541028111. The cubic root of 418065664 is about 747.7357870353.

The spelling of 418065664 in words is "four hundred eighteen million, sixty-five thousand, six hundred sixty-four".