419404032 has 108 divisors (see below), whose sum is σ = 1251142620. Its totient is φ = 134959104.

The previous prime is 419404031. The next prime is 419404039. The reversal of 419404032 is 230404914.

It can be written as a sum of positive squares in 2 ways, for example, as 337971456 + 81432576 = 18384^2 + 9024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 419403987 and 419404005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419404031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63678 + ... + 69954.

Almost surely, 2^419404032 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 419404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625571310).

419404032 is an abundant number, since it is smaller than the sum of its proper divisors (831738588).

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

419404032 is a wasteful number, since it uses less digits than its factorization.

419404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 419404032 is about 20479.3562398822. The cubic root of 419404032 is about 748.5328545169.

Adding to 419404032 its reverse (230404914), we get a palindrome (649808946).

The spelling of 419404032 in words is "four hundred nineteen million, four hundred four thousand, thirty-two".