831980420 has 48 divisors (see below), whose sum is σ = 1811300400. Its totient is φ = 320624640.

The previous prime is 831980411. The next prime is 831980423. The reversal of 831980420 is 24089138.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 281702656 + 550277764 = 16784^2 + 23458^2 .

It is not an unprimeable number, because it can be changed into a prime (831980423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328760 + ... + 331280.

It is an arithmetic number, because the mean of its divisors is an integer number (37735425).

Almost surely, 2^831980420 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 831980420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905650200).

831980420 is an abundant number, since it is smaller than the sum of its proper divisors (979319980).

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

831980420 is a wasteful number, since it uses less digits than its factorization.

831980420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 831980420 is about 28844.0707945325. The cubic root of 831980420 is about 940.5264969642.

The spelling of 831980420 in words is "eight hundred thirty-one million, nine hundred eighty thousand, four hundred twenty".