417241 has 8 divisors (see below), whose sum is σ = 461664. Its totient is φ = 373920.

The previous prime is 417239. The next prime is 417251. The reversal of 417241 is 142714.

417241 is a nontrivial binomial coefficient, being equal to C(914, 2).

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 417241 - 2¹ = 417239 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417251) 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, 685 + ... + 1141.

It is an arithmetic number, because the mean of its divisors is an integer number (57708).

2⁴¹⁷²⁴¹ is an apocalyptic number.

417241 is the 913-rd triangular number and also the 457-th hexagonal number.

417241 is the 305-th centered nonagonal number.

It is an amenable number.

417241 is a deficient number, since it is larger than the sum of its proper divisors (44423).

417241 is a wasteful number, since it uses less digits than its factorization.

417241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551.

The product of its digits is 224, while the sum is 19.

The square root of 417241 is about 645.9419478560. The cubic root of 417241 is about 74.7243809552.

Adding to 417241 its reverse (142714), we get a palindrome (559955).

The spelling of 417241 in words is "four hundred seventeen thousand, two hundred forty-one", and thus it is an iban number.