417413441 has 8 divisors (see below), whose sum is σ = 419789568. Its totient is φ = 415044000.

The previous prime is 417413389. The next prime is 417413449. The reversal of 417413441 is 144314714.

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 417413441 - 2¹⁸ = 417151297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417413449) 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, 169781 + ... + 172221.

It is an arithmetic number, because the mean of its divisors is an integer number (52473696).

Almost surely, 2^417413441 is an apocalyptic number.

It is an amenable number.

417413441 is a deficient number, since it is larger than the sum of its proper divisors (2376127).

417413441 is a wasteful number, since it uses less digits than its factorization.

417413441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343.

The product of its digits is 5376, while the sum is 29.

The square root of 417413441 is about 20430.6984951567. The cubic root of 417413441 is about 747.3467378539.

The spelling of 417413441 in words is "four hundred seventeen million, four hundred thirteen thousand, four hundred forty-one".