512829920 has 48 divisors (see below), whose sum is σ = 1215502848. Its totient is φ = 204464640.

The previous prime is 512829913. The next prime is 512829929. The reversal of 512829920 is 29928215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512829929) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 45665 + ... + 55775.

It is an arithmetic number, because the mean of its divisors is an integer number (25322976).

Almost surely, 2^512829920 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 512829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607751424).

512829920 is an abundant number, since it is smaller than the sum of its proper divisors (702672928).

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

512829920 is a wasteful number, since it uses less digits than its factorization.

512829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10443 (or 10435 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 512829920 is about 22645.7483868385. The cubic root of 512829920 is about 800.4320166600.

The spelling of 512829920 in words is "five hundred twelve million, eight hundred twenty-nine thousand, nine hundred twenty".