417401 has 8 divisors (see below), whose sum is σ = 453024. Its totient is φ = 383040.

The previous prime is 417383. The next prime is 417419. The reversal of 417401 is 104714.

It is an interprime number because it is at equal distance from previous prime (417383) and next prime (417419).

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 417401 - 2⁶ = 417337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 417401.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 417401.

It is not an unprimeable number, because it can be changed into a prime (417451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446 + ... + 1016.

It is an arithmetic number, because the mean of its divisors is an integer number (56628).

2⁴¹⁷⁴⁰¹ is an apocalyptic number.

It is an amenable number.

417401 is a deficient number, since it is larger than the sum of its proper divisors (35623).

417401 is a wasteful number, since it uses less digits than its factorization.

417401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 417401 is about 646.0657861240. The cubic root of 417401 is about 74.7339312895.

It can be divided in two parts, 417 and 401, that added together give a palindrome (818).

The spelling of 417401 in words is "four hundred seventeen thousand, four hundred one", and thus it is an iban number.