419406 has 32 divisors (see below), whose sum is σ = 954240. Its totient is φ = 121824.

The previous prime is 419401. The next prime is 419417. The reversal of 419406 is 604914.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341 + ... + 1623.

It is an arithmetic number, because the mean of its divisors is an integer number (29820).

2⁴¹⁹⁴⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477120).

419406 is an abundant number, since it is smaller than the sum of its proper divisors (534834).

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

419406 is a wasteful number, since it uses less digits than its factorization.

419406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 419406 is about 647.6156267417. The cubic root of 419406 is about 74.8534025313.

The spelling of 419406 in words is "four hundred nineteen thousand, four hundred six".