830210048 has 38 divisors (see below), whose sum is σ = 1660941216. Its totient is φ = 414973952.

The previous prime is 830210041. The next prime is 830210077. The reversal of 830210048 is 840012038.

It is a junction number, because it is equal to n+sod(n) for n = 830209999 and 830210026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830210041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 260561 + ... + 263727.

Almost surely, 2^830210048 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 830210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830470608).

830210048 is an abundant number, since it is smaller than the sum of its proper divisors (830731168).

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

830210048 is an frugal number, since it uses more digits than its factorization.

830210048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 830210048 is about 28813.3657874258. The cubic root of 830210048 is about 939.8589074486.

The spelling of 830210048 in words is "eight hundred thirty million, two hundred ten thousand, forty-eight".