830144512 has 68 divisors (see below), whose sum is σ = 1698680160. Its totient is φ = 405536768.

The previous prime is 830144489. The next prime is 830144519. The reversal of 830144512 is 215441038.

It is not an unprimeable number, because it can be changed into a prime (830144519) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3473289 + ... + 3473527.

Almost surely, 2^830144512 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 830144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849340080).

830144512 is an abundant number, since it is smaller than the sum of its proper divisors (868535648).

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

830144512 is an frugal number, since it uses more digits than its factorization.

830144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 830144512 is about 28812.2285149900. The cubic root of 830144512 is about 939.8341762719.

The spelling of 830144512 in words is "eight hundred thirty million, one hundred forty-four thousand, five hundred twelve".