417053 has 8 divisors (see below), whose sum is σ = 513408. Its totient is φ = 329904.

The previous prime is 417037. The next prime is 417089. The reversal of 417053 is 350714.

It is a happy number.

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 417053 - 2⁴ = 417037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2201 + ... + 2382.

It is an arithmetic number, because the mean of its divisors is an integer number (64176).

2⁴¹⁷⁰⁵³ is an apocalyptic number.

It is an amenable number.

417053 is a deficient number, since it is larger than the sum of its proper divisors (96355).

417053 is a wasteful number, since it uses less digits than its factorization.

417053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 417053 is about 645.7964075465. The cubic root of 417053 is about 74.7131561922.

Adding to 417053 its reverse (350714), we get a palindrome (767767).

The spelling of 417053 in words is "four hundred seventeen thousand, fifty-three".