419134716 has 192 divisors, whose sum is σ = 1459368960. Its totient is φ = 100465920.

The previous prime is 419134697. The next prime is 419134747. The reversal of 419134716 is 617431914.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106170 + ... + 110046.

It is an arithmetic number, because the mean of its divisors is an integer number (7600880).

Almost surely, 2^419134716 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 419134716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729684480).

419134716 is an abundant number, since it is smaller than the sum of its proper divisors (1040234244).

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

419134716 is a wasteful number, since it uses less digits than its factorization.

419134716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3913 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 419134716 is about 20472.7798796353. The cubic root of 419134716 is about 748.3725993101.

The spelling of 419134716 in words is "four hundred nineteen million, one hundred thirty-four thousand, seven hundred sixteen".