1830432 has 48 divisors (see below), whose sum is σ = 5019840. Its totient is φ = 582912.

The previous prime is 1830431. The next prime is 1830443. The reversal of 1830432 is 2340381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1830399 and 1830408.

It is not an unprimeable number, because it can be changed into a prime (1830431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1794 + ... + 2622.

It is an arithmetic number, because the mean of its divisors is an integer number (104580).

2^1830432 is an apocalyptic number.

1830432 is a gapful number since it is divisible by the number (12) 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 1830432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509920).

1830432 is an abundant number, since it is smaller than the sum of its proper divisors (3189408).

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

1830432 is a wasteful number, since it uses less digits than its factorization.

1830432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1830432 is about 1352.9345882193. The cubic root of 1830432 is about 122.3257441871.

It can be divided in two parts, 18304 and 32, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 1830432 in words is "one million, eight hundred thirty thousand, four hundred thirty-two".