419832 has 96 divisors (see below), whose sum is σ = 1404000. Its totient is φ = 112896.

The previous prime is 419831. The next prime is 419873. The reversal of 419832 is 238914.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a zygodrome in base 2 and base 7.

It is a junction number, because it is equal to n+sod(n) for n = 419796 and 419805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419831) 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, 24688 + ... + 24704.

It is an arithmetic number, because the mean of its divisors is an integer number (14625).

2⁴¹⁹⁸³² is an apocalyptic number.

419832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702000).

419832 is an abundant number, since it is smaller than the sum of its proper divisors (984168).

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

419832 is a wasteful number, since it uses less digits than its factorization.

419832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 29 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 419832 is about 647.9444420627. The cubic root of 419832 is about 74.8787373774.

The spelling of 419832 in words is "four hundred nineteen thousand, eight hundred thirty-two".