512435712 has 160 divisors (see below), whose sum is σ = 1429908480. Its totient is φ = 162938880.

The previous prime is 512435711. The next prime is 512435723. The reversal of 512435712 is 217534215.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 512435712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512435711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4975053 + ... + 4975155.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2^512435712 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 512435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714954240).

512435712 is an abundant number, since it is smaller than the sum of its proper divisors (917472768).

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

512435712 is a wasteful number, since it uses less digits than its factorization.

512435712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 512435712 is about 22637.0429164235. The cubic root of 512435712 is about 800.2268689903.

Adding to 512435712 its reverse (217534215), we get a palindrome (729969927).

The spelling of 512435712 in words is "five hundred twelve million, four hundred thirty-five thousand, seven hundred twelve".