419432 has 32 divisors (see below), whose sum is σ = 877800. Its totient is φ = 186624.

The previous prime is 419429. The next prime is 419443. The reversal of 419432 is 234914.

419432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 391876 + 27556 = 626^2 + 166^2 .

It is a plaindrome in base 16.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 419398 and 419407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3794 + ... + 3902.

2⁴¹⁹⁴³² 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 419432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438900).

419432 is an abundant number, since it is smaller than the sum of its proper divisors (458368).

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

419432 is a wasteful number, since it uses less digits than its factorization.

419432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 419432 is about 647.6357000660. The cubic root of 419432 is about 74.8549492810.

The spelling of 419432 in words is "four hundred nineteen thousand, four hundred thirty-two".