516246980 has 48 divisors (see below), whose sum is σ = 1124126640. Its totient is φ = 198912000.

The previous prime is 516246961. The next prime is 516246989. The reversal of 516246980 is 89642615.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4401604 + 511845376 = 2098^2 + 22624^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (516246989) 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, 347840 + ... + 349320.

It is an arithmetic number, because the mean of its divisors is an integer number (23419305).

Almost surely, 2^516246980 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 516246980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562063320).

516246980 is an abundant number, since it is smaller than the sum of its proper divisors (607879660).

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

516246980 is a wasteful number, since it uses less digits than its factorization.

516246980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 516246980 is about 22721.0690769603. The cubic root of 516246980 is about 802.2058807721.

The spelling of 516246980 in words is "five hundred sixteen million, two hundred forty-six thousand, nine hundred eighty".