417085473 has 64 divisors (see below), whose sum is σ = 713687040. Its totient is φ = 211159872.

The previous prime is 417085457. The next prime is 417085489. The reversal of 417085473 is 374580714.

It is an interprime number because it is at equal distance from previous prime (417085457) and next prime (417085489).

It is not a de Polignac number, because 417085473 - 2⁴ = 417085457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (417085073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 430836 + ... + 431802.

It is an arithmetic number, because the mean of its divisors is an integer number (11151360).

Almost surely, 2^417085473 is an apocalyptic number.

It is an amenable number.

417085473 is a deficient number, since it is larger than the sum of its proper divisors (296601567).

417085473 is a wasteful number, since it uses less digits than its factorization.

417085473 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066.

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 417085473 is about 20422.6705648404. The cubic root of 417085473 is about 747.1509527215.

The spelling of 417085473 in words is "four hundred seventeen million, eighty-five thousand, four hundred seventy-three".