419610816 has 168 divisors, whose sum is σ = 1244827584. Its totient is φ = 135083520.

The previous prime is 419610787. The next prime is 419610817. The reversal of 419610816 is 618016914.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (419610817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3203071 + ... + 3203201.

It is an arithmetic number, because the mean of its divisors is an integer number (7409688).

Almost surely, 2^419610816 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 419610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622413792).

419610816 is an abundant number, since it is smaller than the sum of its proper divisors (825216768).

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

419610816 is a wasteful number, since it uses less digits than its factorization.

419610816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 419610816 is about 20484.4042139380. The cubic root of 419610816 is about 748.6558538004.

The spelling of 419610816 in words is "four hundred nineteen million, six hundred ten thousand, eight hundred sixteen".