512456868 has 288 divisors, whose sum is σ = 1725954048. Its totient is φ = 129081600.

The previous prime is 512456863. The next prime is 512456873. The reversal of 512456868 is 868654215.

512456868 is a `hidden beast` number, since 5 + 1 + 24 + 568 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (512456863) and next prime (512456873).

It is a super-2 number, since 2×512456868² = 525224083120738848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512456863) 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, 3068521 + ... + 3068687.

It is an arithmetic number, because the mean of its divisors is an integer number (5992896).

Almost surely, 2^512456868 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 512456868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862977024).

512456868 is an abundant number, since it is smaller than the sum of its proper divisors (1213497180).

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

512456868 is a wasteful number, since it uses less digits than its factorization.

512456868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 512456868 is about 22637.5101987829. The cubic root of 512456868 is about 800.2378813419.

The spelling of 512456868 in words is "five hundred twelve million, four hundred fifty-six thousand, eight hundred sixty-eight".