419805 has 24 divisors (see below), whose sum is σ = 767520. Its totient is φ = 211680.

The previous prime is 419803. The next prime is 419821. The reversal of 419805 is 508914.

It is not a de Polignac number, because 419805 - 2¹ = 419803 is a prime.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (31980).

2⁴¹⁹⁸⁰⁵ is an apocalyptic number.

419805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

419805 is a deficient number, since it is larger than the sum of its proper divisors (347715).

419805 is a wasteful number, since it uses less digits than its factorization.

419805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 419805 is about 647.9236066081. The cubic root of 419805 is about 74.8771321565.

The spelling of 419805 in words is "four hundred nineteen thousand, eight hundred five".