512343216 has 480 divisors, whose sum is σ = 1949875200. Its totient is φ = 124185600.

The previous prime is 512343187. The next prime is 512343217. The reversal of 512343216 is 612343215.

It is a self number, because there is not a number n which added to its sum of digits gives 512343216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512343217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12496156 + ... + 12496196.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^512343216 is an apocalyptic number.

512343216 is a gapful number since it is divisible by the number (56) 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 512343216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974937600).

512343216 is an abundant number, since it is smaller than the sum of its proper divisors (1437531984).

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

512343216 is a wasteful number, since it uses less digits than its factorization.

512343216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 512343216 is about 22634.9998011928. Note that the first 3 decimals coincide. The cubic root of 512343216 is about 800.1787184050.

Subtracting 512343216 from its reverse (612343215), we obtain a palindrome (99999999).

The spelling of 512343216 in words is "five hundred twelve million, three hundred forty-three thousand, two hundred sixteen".