830484 has 72 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 244992.

The previous prime is 830483. The next prime is 830497. The reversal of 830484 is 484038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830483) 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, 14047 + ... + 14105.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁸³⁰⁴⁸⁴ 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 830484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

830484 is an abundant number, since it is smaller than the sum of its proper divisors (1528236).

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

830484 is a wasteful number, since it uses less digits than its factorization.

830484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 830484 is about 911.3089487106. The cubic root of 830484 is about 93.9962274025.

The spelling of 830484 in words is "eight hundred thirty thousand, four hundred eighty-four".