419882112 has 288 divisors, whose sum is σ = 1385895420. Its totient is φ = 121245696.

The previous prime is 419882101. The next prime is 419882129. The reversal of 419882112 is 211288914.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 417139776 + 2742336 = 20424^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7922278 + ... + 7922330.

Almost surely, 2^419882112 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 419882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692947710).

419882112 is an abundant number, since it is smaller than the sum of its proper divisors (966013308).

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

419882112 is a wasteful number, since it uses less digits than its factorization.

419882112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 419882112 is about 20491.0251573707. The cubic root of 419882112 is about 748.8171648487.

It can be divided in two parts, 41988 and 2112, that added together give a square (44100 = 210²).

The spelling of 419882112 in words is "four hundred nineteen million, eight hundred eighty-two thousand, one hundred twelve".