419864 has 16 divisors (see below), whose sum is σ = 813120. Its totient is φ = 203040.

The previous prime is 419831. The next prime is 419873. The reversal of 419864 is 468914.

It is a super-3 number, since 3×419864³ = 222048156307333632, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 419864.

It is a congruent number.

It is an unprimeable number.

419864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (50820).

419864 is a Friedman number, since it can be written as 6^8/4-4*(9+1), using all its digits and the basic arithmetic operations.

2⁴¹⁹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

419864 is a deficient number, since it is larger than the sum of its proper divisors (393256).

419864 is a wasteful number, since it uses less digits than its factorization.

419864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1726 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 419864 is about 647.9691350674. The cubic root of 419864 is about 74.8806397722.

The spelling of 419864 in words is "four hundred nineteen thousand, eight hundred sixty-four".