417975 has 12 divisors (see below), whose sum is σ = 691176. Its totient is φ = 222880.

The previous prime is 417961. The next prime is 417983. The reversal of 417975 is 579714.

It is not a de Polignac number, because 417975 - 2⁴ = 417959 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2712 + ... + 2861.

It is an arithmetic number, because the mean of its divisors is an integer number (57598).

2⁴¹⁷⁹⁷⁵ is an apocalyptic number.

417975 is a deficient number, since it is larger than the sum of its proper divisors (273201).

417975 is a wasteful number, since it uses less digits than its factorization.

417975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5581 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 417975 is about 646.5098607137. The cubic root of 417975 is about 74.7681730440.

The spelling of 417975 in words is "four hundred seventeen thousand, nine hundred seventy-five".