831290460 has 192 divisors, whose sum is σ = 3125412864. Its totient is φ = 159436800.

The previous prime is 831290441. The next prime is 831290477. The reversal of 831290460 is 64092138.

831290460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53140 + ... + 66980.

It is an arithmetic number, because the mean of its divisors is an integer number (16278192).

Almost surely, 2^831290460 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 831290460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562706432).

831290460 is an abundant number, since it is smaller than the sum of its proper divisors (2294122404).

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

831290460 is a wasteful number, since it uses less digits than its factorization.

831290460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13884 (or 13882 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 831290460 is about 28832.1081435264. The cubic root of 831290460 is about 940.2664326994.

The spelling of 831290460 in words is "eight hundred thirty-one million, two hundred ninety thousand, four hundred sixty".