516048000 has 256 divisors, whose sum is σ = 1844519040. Its totient is φ = 126873600.

The previous prime is 516047963. The next prime is 516048007. The reversal of 516048000 is 840615.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (516048007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623587 + ... + 624413.

Almost surely, 2^516048000 is an apocalyptic number.

516048000 is a gapful number since it is divisible by the number (50) 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 516048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922259520).

516048000 is an abundant number, since it is smaller than the sum of its proper divisors (1328471040).

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

516048000 is a wasteful number, since it uses less digits than its factorization.

516048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 516048000 is about 22716.6898997191. The cubic root of 516048000 is about 802.1028012741.

Adding to 516048000 its reverse (840615), we get a palindrome (516888615).

The spelling of 516048000 in words is "five hundred sixteen million, forty-eight thousand".