419913 has 24 divisors (see below), whose sum is σ = 677768. Its totient is φ = 248832.

The previous prime is 419893. The next prime is 419921. The reversal of 419913 is 319914.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 356409 = 252^2 + 597^2 .

It is not a de Polignac number, because 419913 - 2⁹ = 419401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4281 + ... + 4377.

419913 is a Friedman number, since it can be written as 9*((9*4)^3+1*1), using all its digits and the basic arithmetic operations.

2⁴¹⁹⁹¹³ is an apocalyptic number.

It is an amenable number.

419913 is a deficient number, since it is larger than the sum of its proper divisors (257855).

419913 is a wasteful number, since it uses less digits than its factorization.

419913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 150 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 419913 is about 648.0069444072. The cubic root of 419913 is about 74.8835526270.

Subtracting from 419913 its reverse (319914), we obtain a palindrome (99999).

The spelling of 419913 in words is "four hundred nineteen thousand, nine hundred thirteen".