419440806 has 48 divisors (see below), whose sum is σ = 936327600. Its totient is φ = 135601344.

The previous prime is 419440799. The next prime is 419440841. The reversal of 419440806 is 608044914.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258265 + ... + 259883.

It is an arithmetic number, because the mean of its divisors is an integer number (19506825).

Almost surely, 2^419440806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419440806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468163800).

419440806 is an abundant number, since it is smaller than the sum of its proper divisors (516886794).

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

419440806 is a wasteful number, since it uses less digits than its factorization.

419440806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 419440806 is about 20480.2540511586. The cubic root of 419440806 is about 748.5547313871.

The spelling of 419440806 in words is "four hundred nineteen million, four hundred forty thousand, eight hundred six".