417964467660 has 24 divisors (see below), whose sum is σ = 1170300509616. Its totient is φ = 111457191360.

The previous prime is 417964467623. The next prime is 417964467671. The reversal of 417964467660 is 66764469714.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 6966074461 = 417964467660 / (4 + 1 + 7 + 9 + 6 + 4 + 4 + 6 + 7 + 6 + 6 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 417964467594 and 417964467603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3483037171 + ... + 3483037290.

It is an arithmetic number, because the mean of its divisors is an integer number (48762521234).

Almost surely, 2^417964467660 is an apocalyptic number.

It is an amenable number.

417964467660 is an abundant number, since it is smaller than the sum of its proper divisors (752336041956).

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

417964467660 is a wasteful number, since it uses less digits than its factorization.

417964467660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966074473 (or 6966074471 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 417964467660 in words is "four hundred seventeen billion, nine hundred sixty-four million, four hundred sixty-seven thousand, six hundred sixty".