416065664 has 48 divisors (see below), whose sum is σ = 964222830. Its totient is φ = 178311168.

The previous prime is 416065621. The next prime is 416065669. The reversal of 416065664 is 466560614.

It can be written as a sum of positive squares in only one way, i.e., 351937600 + 64128064 = 18760^2 + 8008^2 .

It is a super-2 number, since 2×416065664² = 346221273519521792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (416065669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26897 + ... + 39440.

Almost surely, 2^416065664 is an apocalyptic number.

It is an amenable number.

416065664 is an abundant number, since it is smaller than the sum of its proper divisors (548157166).

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

416065664 is an equidigital number, since it uses as much as digits as its factorization.

416065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66365 (or 66346 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 416065664 is about 20397.6877120913. The cubic root of 416065664 is about 746.5415067990.

The spelling of 416065664 in words is "four hundred sixteen million, sixty-five thousand, six hundred sixty-four".