819432 has 48 divisors (see below), whose sum is σ = 2340000. Its totient is φ = 258336.

The previous prime is 819431. The next prime is 819437. The reversal of 819432 is 234918.

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 junction number, because it is equal to n+sod(n) for n = 819396 and 819405.

It is not an unprimeable number, because it can be changed into a prime (819431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1069 + ... + 1667.

It is an arithmetic number, because the mean of its divisors is an integer number (48750).

2⁸¹⁹⁴³² 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 819432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170000).

819432 is an abundant number, since it is smaller than the sum of its proper divisors (1520568).

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

819432 is a wasteful number, since it uses less digits than its factorization.

819432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 623 counting only the distinct ones).

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

The square root of 819432 is about 905.2248339501. The cubic root of 819432 is about 93.5773997594.

The spelling of 819432 in words is "eight hundred nineteen thousand, four hundred thirty-two".