830448 has 60 divisors (see below), whose sum is σ = 2385760. Its totient is φ = 269568.

The previous prime is 830447. The next prime is 830449. The reversal of 830448 is 844038.

It is an interprime number because it is at equal distance from previous prime (830447) and next prime (830449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830441) 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 11 ways as a sum of consecutive naturals, for example, 10473 + ... + 10551.

2⁸³⁰⁴⁴⁸ 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 830448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192880).

830448 is an abundant number, since it is smaller than the sum of its proper divisors (1555312).

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

830448 is a wasteful number, since it uses less digits than its factorization.

830448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

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

The square root of 830448 is about 911.2891966879. The cubic root of 830448 is about 93.9948691933.

The spelling of 830448 in words is "eight hundred thirty thousand, four hundred forty-eight".