415429664 has 24 divisors (see below), whose sum is σ = 880791660. Its totient is φ = 191736576.

The previous prime is 415429649. The next prime is 415429709. The reversal of 415429664 is 466924514.

It can be written as a sum of positive squares in 2 ways, for example, as 415344400 + 85264 = 20380^2 + 292^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 498899 + ... + 499730.

Almost surely, 2^415429664 is an apocalyptic number.

It is an amenable number.

415429664 is an abundant number, since it is smaller than the sum of its proper divisors (465361996).

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

415429664 is a wasteful number, since it uses less digits than its factorization.

415429664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998652 (or 998644 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 415429664 is about 20382.0917474140. The cubic root of 415429664 is about 746.1609238186.

The spelling of 415429664 in words is "four hundred fifteen million, four hundred twenty-nine thousand, six hundred sixty-four".