419842368 has 336 divisors, whose sum is σ = 1422660096. Its totient is φ = 117089280.

The previous prime is 419842343. The next prime is 419842403. The reversal of 419842368 is 863248914.

It is a happy number.

It is a super-2 number, since 2×419842368² = 352535227935694848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (331776) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6266271 + ... + 6266337.

Almost surely, 2^419842368 is an apocalyptic number.

419842368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711330048).

419842368 is an abundant number, since it is smaller than the sum of its proper divisors (1002817728).

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

419842368 is a wasteful number, since it uses less digits than its factorization.

419842368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 419842368 is about 20490.0553439955. The cubic root of 419842368 is about 748.7935376387.

The spelling of 419842368 in words is "four hundred nineteen million, eight hundred forty-two thousand, three hundred sixty-eight".