419850816 has 168 divisors, whose sum is σ = 1410041376. Its totient is φ = 109025280.

The previous prime is 419850799. The next prime is 419850817. The reversal of 419850816 is 618058914.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (419850817) 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, 101460 + ... + 105516.

Almost surely, 2^419850816 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 419850816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705020688).

419850816 is an abundant number, since it is smaller than the sum of its proper divisors (990190560).

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

419850816 is a wasteful number, since it uses less digits than its factorization.

419850816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 419850816 is about 20490.2614917429. The cubic root of 419850816 is about 748.7985599724.

The spelling of 419850816 in words is "four hundred nineteen million, eight hundred fifty thousand, eight hundred sixteen".