419985 has 40 divisors (see below), whose sum is σ = 810216. Its totient is φ = 207360.

The previous prime is 419959. The next prime is 419999. The reversal of 419985 is 589914.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 408321 = 108^2 + 639^2 .

It is not a de Polignac number, because 419985 - 2⁵ = 419953 is a prime.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6855 + ... + 6915.

419985 is a Friedman number, since it can be written as 9*9+(5+1)^8/4, using all its digits and the basic arithmetic operations.

2⁴¹⁹⁹⁸⁵ is an apocalyptic number.

419985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

419985 is a deficient number, since it is larger than the sum of its proper divisors (390231).

419985 is a wasteful number, since it uses less digits than its factorization.

419985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 86 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 419985 is about 648.0624969862. The cubic root of 419985 is about 74.8878323291.

The spelling of 419985 in words is "four hundred nineteen thousand, nine hundred eighty-five".