512052800 has 168 divisors, whose sum is σ = 1455115200. Its totient is φ = 173721600.

The previous prime is 512052701. The next prime is 512052803. The reversal of 512052800 is 8250215.

It is not an unprimeable number, because it can be changed into a prime (512052803) 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, 1467026 + ... + 1467374.

It is an arithmetic number, because the mean of its divisors is an integer number (8661400).

Almost surely, 2^512052800 is an apocalyptic number.

512052800 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 512052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727557600).

512052800 is an abundant number, since it is smaller than the sum of its proper divisors (943062400).

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

512052800 is a wasteful number, since it uses less digits than its factorization.

512052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 512052800 is about 22628.5836940804. The cubic root of 512052800 is about 800.0274990547.

The spelling of 512052800 in words is "five hundred twelve million, fifty-two thousand, eight hundred".