516795048 has 288 divisors, whose sum is σ = 1821718080. Its totient is φ = 128563200.

The previous prime is 516795047. The next prime is 516795061. The reversal of 516795048 is 840597615.

516795048 is a `hidden beast` number, since 516 + 7 + 95 + 0 + 48 = 666.

It is a Smith number, since the sum of its digits (45) 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 = 516794994 and 516795012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516795047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5327736 + ... + 5327832.

It is an arithmetic number, because the mean of its divisors is an integer number (6325410).

Almost surely, 2^516795048 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 516795048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910859040).

516795048 is an abundant number, since it is smaller than the sum of its proper divisors (1304923032).

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

516795048 is a wasteful number, since it uses less digits than its factorization.

516795048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 516795048 is about 22733.1266657273. The cubic root of 516795048 is about 802.4896647576.

The spelling of 516795048 in words is "five hundred sixteen million, seven hundred ninety-five thousand, forty-eight".