417471967 has 8 divisors (see below), whose sum is σ = 456981840. Its totient is φ = 378221760.

The previous prime is 417471953. The next prime is 417471973. The reversal of 417471967 is 769174714.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 417471967 - 2²⁷ = 283254239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417471997) by changing a digit.

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, 61542 + ... + 67987.

It is an arithmetic number, because the mean of its divisors is an integer number (57122730).

Almost surely, 2^417471967 is an apocalyptic number.

417471967 is a deficient number, since it is larger than the sum of its proper divisors (39509873).

417471967 is a wasteful number, since it uses less digits than its factorization.

417471967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129833.

The product of its digits is 296352, while the sum is 46.

The square root of 417471967 is about 20432.1307503647. The cubic root of 417471967 is about 747.3816649923.

The spelling of 417471967 in words is "four hundred seventeen million, four hundred seventy-one thousand, nine hundred sixty-seven".