419868 has 36 divisors (see below), whose sum is σ = 1081080. Its totient is φ = 137376.

The previous prime is 419831. The next prime is 419873. The reversal of 419868 is 868914.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

419868 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3798 + ... + 3906.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2⁴¹⁹⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

419868 is an abundant number, since it is smaller than the sum of its proper divisors (661212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

419868 is a wasteful number, since it uses less digits than its factorization.

419868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 419868 is about 647.9722216268. The cubic root of 419868 is about 74.8808775648.

Adding to 419868 its sum of digits (36), we get a square (419904 = 648²).

The spelling of 419868 in words is "four hundred nineteen thousand, eight hundred sixty-eight".