417041361 has 24 divisors (see below), whose sum is σ = 657802080. Its totient is φ = 252504000.

The previous prime is 417041351. The next prime is 417041371. The reversal of 417041361 is 163140714.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (417041351) and next prime (417041371).

It is not a de Polignac number, because 417041361 - 2¹¹ = 417039313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (417041351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177130 + ... + 179468.

It is an arithmetic number, because the mean of its divisors is an integer number (27408420).

Almost surely, 2^417041361 is an apocalyptic number.

It is an amenable number.

417041361 is a deficient number, since it is larger than the sum of its proper divisors (240760719).

417041361 is a wasteful number, since it uses less digits than its factorization.

417041361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 417041361 is about 20421.5905599931. The cubic root of 417041361 is about 747.1246116100.

The spelling of 417041361 in words is "four hundred seventeen million, forty-one thousand, three hundred sixty-one".