512604960 has 288 divisors, whose sum is σ = 1921885056. Its totient is φ = 112435200.

The previous prime is 512604959. The next prime is 512604973. The reversal of 512604960 is 69406215.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8403330 + ... + 8403390.

It is an arithmetic number, because the mean of its divisors is an integer number (6673212).

Almost surely, 2^512604960 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 512604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960942528).

512604960 is an abundant number, since it is smaller than the sum of its proper divisors (1409280096).

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

512604960 is a wasteful number, since it uses less digits than its factorization.

512604960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 512604960 is about 22640.7809052603. The cubic root of 512604960 is about 800.3149593178.

The spelling of 512604960 in words is "five hundred twelve million, six hundred four thousand, nine hundred sixty".