417008473 has 12 divisors (see below), whose sum is σ = 485490432. Its totient is φ = 357141960.

The previous prime is 417008461. The next prime is 417008483. The reversal of 417008473 is 374800714.

It is a de Polignac number, because none of the positive numbers 2^k-417008473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (417008413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74068 + ... + 79498.

It is an arithmetic number, because the mean of its divisors is an integer number (40457536).

Almost surely, 2^417008473 is an apocalyptic number.

It is an amenable number.

417008473 is a deficient number, since it is larger than the sum of its proper divisors (68481959).

417008473 is a wasteful number, since it uses less digits than its factorization.

417008473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 417008473 is about 20420.7853179059. The cubic root of 417008473 is about 747.1049716075.

The spelling of 417008473 in words is "four hundred seventeen million, eight thousand, four hundred seventy-three".