419212008 has 96 divisors (see below), whose sum is σ = 1191590400. Its totient is φ = 132969600.

The previous prime is 419211979. The next prime is 419212037. The reversal of 419212008 is 800212914.

It is an interprime number because it is at equal distance from previous prime (419211979) and next prime (419212037).

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, 134613 + ... + 137691.

It is an arithmetic number, because the mean of its divisors is an integer number (12412400).

Almost surely, 2^419212008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419212008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595795200).

419212008 is an abundant number, since it is smaller than the sum of its proper divisors (772378392).

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

419212008 is a wasteful number, since it uses less digits than its factorization.

419212008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 419212008 is about 20474.6674698272. The cubic root of 419212008 is about 748.4185985696.

The spelling of 419212008 in words is "four hundred nineteen million, two hundred twelve thousand, eight".