512308992 has 216 divisors, whose sum is σ = 1550815504. Its totient is φ = 149225472.

The previous prime is 512308967. The next prime is 512308997. The reversal of 512308992 is 299803215.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 512308992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512308997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5281488 + ... + 5281584.

Almost surely, 2^512308992 is an apocalyptic number.

512308992 is a gapful number since it is divisible by the number (52) 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 512308992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775407752).

512308992 is an abundant number, since it is smaller than the sum of its proper divisors (1038506512).

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

512308992 is a wasteful number, since it uses less digits than its factorization.

512308992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 512308992 is about 22634.2437912116. The cubic root of 512308992 is about 800.1609009698.

The spelling of 512308992 in words is "five hundred twelve million, three hundred eight thousand, nine hundred ninety-two".