419013 has 20 divisors (see below), whose sum is σ = 716320. Its totient is φ = 239112.

The previous prime is 418997. The next prime is 419047. The reversal of 419013 is 310914.

It is not a de Polignac number, because 419013 - 2⁴ = 418997 is a prime.

It is an Ulam number.

It is a Duffinian number.

419013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419053) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 198 + ... + 936.

It is an arithmetic number, because the mean of its divisors is an integer number (35816).

2⁴¹⁹⁰¹³ is an apocalyptic number.

It is an amenable number.

419013 is a deficient number, since it is larger than the sum of its proper divisors (297307).

419013 is an equidigital number, since it uses as much as digits as its factorization.

419013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 419013 is about 647.3121349087. The cubic root of 419013 is about 74.8300150258.

Adding to 419013 its reverse (310914), we get a palindrome (729927).

The spelling of 419013 in words is "four hundred nineteen thousand, thirteen".