516850048 has 192 divisors, whose sum is σ = 1299080160. Its totient is φ = 202752000.

The previous prime is 516850039. The next prime is 516850049. The reversal of 516850048 is 840058615.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 516849989 and 516850016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516850049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3422773 + ... + 3422923.

Almost surely, 2^516850048 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 516850048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649540080).

516850048 is an abundant number, since it is smaller than the sum of its proper divisors (782230112).

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

516850048 is a wasteful number, since it uses less digits than its factorization.

516850048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 516850048 is about 22734.3363219602. The cubic root of 516850048 is about 802.5181321136.

The spelling of 516850048 in words is "five hundred sixteen million, eight hundred fifty thousand, forty-eight".