419965 has 24 divisors (see below), whose sum is σ = 632448. Its totient is φ = 262080.

The previous prime is 419959. The next prime is 419999. The reversal of 419965 is 569914.

It is not a de Polignac number, because 419965 - 2⁵ = 419933 is a prime.

It is a Duffinian number.

419965 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 419965.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5880 + ... + 5950.

It is an arithmetic number, because the mean of its divisors is an integer number (26352).

2⁴¹⁹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

419965 is a deficient number, since it is larger than the sum of its proper divisors (212483).

419965 is a wasteful number, since it uses less digits than its factorization.

419965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its digits is 9720, while the sum is 34.

The square root of 419965 is about 648.0470661920. The cubic root of 419965 is about 74.8866435721.

The spelling of 419965 in words is "four hundred nineteen thousand, nine hundred sixty-five".