417070664 has 32 divisors (see below), whose sum is σ = 796582200. Its totient is φ = 204664320.

The previous prime is 417070637. The next prime is 417070711. The reversal of 417070664 is 466070714.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 169260100 + 247810564 = 13010^2 + 15742^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 368852 + ... + 369980.

Almost surely, 2^417070664 is an apocalyptic number.

It is an amenable number.

417070664 is a deficient number, since it is larger than the sum of its proper divisors (379511536).

417070664 is a wasteful number, since it uses less digits than its factorization.

417070664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 417070664 is about 20422.3079988526. The cubic root of 417070664 is about 747.1421098582.

Subtracting 417070664 from its reverse (466070714), we obtain a triangular number (49000050 = T₉₈₉₉).

The spelling of 417070664 in words is "four hundred seventeen million, seventy thousand, six hundred sixty-four".