516831840 has 384 divisors, whose sum is σ = 2102768640. Its totient is φ = 117573120.

The previous prime is 516831817. The next prime is 516831853. The reversal of 516831840 is 48138615.

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 = 516831795 and 516831804.

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, 2449335 + ... + 2449545.

It is an arithmetic number, because the mean of its divisors is an integer number (5475960).

Almost surely, 2^516831840 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 516831840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051384320).

516831840 is an abundant number, since it is smaller than the sum of its proper divisors (1585936800).

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

516831840 is an equidigital number, since it uses as much as digits as its factorization.

516831840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 516831840 is about 22733.9358668929. The cubic root of 516831840 is about 802.5087080896.

The spelling of 516831840 in words is "five hundred sixteen million, eight hundred thirty-one thousand, eight hundred forty".