419113890 has 96 divisors (see below), whose sum is σ = 1202278896. Its totient is φ = 100638720.

The previous prime is 419113879. The next prime is 419113897. The reversal of 419113890 is 98311914.

It can be written as a sum of positive squares in 8 ways, for example, as 12809241 + 406304649 = 3579^2 + 20157^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (419113897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43602 + ... + 52338.

Almost surely, 2^419113890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419113890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601139448).

419113890 is an abundant number, since it is smaller than the sum of its proper divisors (783165006).

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

419113890 is a wasteful number, since it uses less digits than its factorization.

419113890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8804 (or 8801 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 419113890 is about 20472.2712467376. The cubic root of 419113890 is about 748.3602040385.

It can be divided in two parts, 4191 and 13890, that added together give a palindrome (18081).

The spelling of 419113890 in words is "four hundred nineteen million, one hundred thirteen thousand, eight hundred ninety".