512215200 has 216 divisors, whose sum is σ = 2064430368. Its totient is φ = 117066240.

The previous prime is 512215181. The next prime is 512215211. The reversal of 512215200 is 2512215.

512215200 is a `hidden beast` number, since 512 + 2 + 152 + 0 + 0 = 666.

It is a super-2 number, since 2×512215200² = 524728822222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45319 + ... + 55481.

It is an arithmetic number, because the mean of its divisors is an integer number (9557548).

Almost surely, 2^512215200 is an apocalyptic number.

512215200 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 512215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032215184).

512215200 is an abundant number, since it is smaller than the sum of its proper divisors (1552215168).

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

512215200 is a wasteful number, since it uses less digits than its factorization.

512215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10196 (or 10180 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 512215200 is about 22632.1717915007. The cubic root of 512215200 is about 800.1120676337.

Adding to 512215200 its reverse (2512215), we get a palindrome (514727415).

The spelling of 512215200 in words is "five hundred twelve million, two hundred fifteen thousand, two hundred".