830412 has 60 divisors (see below), whose sum is σ = 2378376. Its totient is φ = 250560.

The previous prime is 830411. The next prime is 830413. The reversal of 830412 is 214038.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (830411) and next prime (830413).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 830412.

It is not an unprimeable number, because it can be changed into a prime (830411) 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 19 ways as a sum of consecutive naturals, for example, 3448 + ... + 3680.

2⁸³⁰⁴¹² 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 830412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189188).

830412 is an abundant number, since it is smaller than the sum of its proper divisors (1547964).

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

830412 is a wasteful number, since it uses less digits than its factorization.

830412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 830412 is about 911.2694442370. The cubic root of 830412 is about 93.9935109448.

The spelling of 830412 in words is "eight hundred thirty thousand, four hundred twelve".