417049 has 8 divisors (see below), whose sum is σ = 439560. Its totient is φ = 395136.

The previous prime is 417037. The next prime is 417089. The reversal of 417049 is 940714.

It can be written as a sum of positive squares in 4 ways, for example, as 198025 + 219024 = 445^2 + 468^2 .

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 417049 - 2⁵ = 417017 is a prime.

It is a Duffinian number.

417049 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (417019) 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, 2019 + ... + 2215.

It is an arithmetic number, because the mean of its divisors is an integer number (54945).

2⁴¹⁷⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

417049 is a deficient number, since it is larger than the sum of its proper divisors (22511).

417049 is a wasteful number, since it uses less digits than its factorization.

417049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 417049 is about 645.7933105878. The cubic root of 417049 is about 74.7129173308.

The spelling of 417049 in words is "four hundred seventeen thousand, forty-nine".