831468240 has 280 divisors, whose sum is σ = 2964084840. Its totient is φ = 216732672.

The previous prime is 831468229. The next prime is 831468269. The reversal of 831468240 is 42864138.

It can be written as a sum of positive squares in 4 ways, for example, as 24681024 + 806787216 = 4968^2 + 28404^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 831468195 and 831468204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3090826 + ... + 3091094.

Almost surely, 2^831468240 is an apocalyptic number.

831468240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482042420).

831468240 is an abundant number, since it is smaller than the sum of its proper divisors (2132616600).

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

831468240 is a wasteful number, since it uses less digits than its factorization.

831468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 831468240 is about 28835.1909998876. The cubic root of 831468240 is about 940.3334564652. Note that the first 3 decimals are identical.

The spelling of 831468240 in words is "eight hundred thirty-one million, four hundred sixty-eight thousand, two hundred forty".