512124960 has 192 divisors, whose sum is σ = 1684537344. Its totient is φ = 130636800.

The previous prime is 512124959. The next prime is 512124967. The reversal of 512124960 is 69421215.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (512124967) 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 31 ways as a sum of consecutive naturals, for example, 1889625 + ... + 1889895.

It is an arithmetic number, because the mean of its divisors is an integer number (8773632).

Almost surely, 2^512124960 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 512124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842268672).

512124960 is an abundant number, since it is smaller than the sum of its proper divisors (1172412384).

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

512124960 is a wasteful number, since it uses less digits than its factorization.

512124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 512124960 is about 22630.1780814911. The cubic root of 512124960 is about 800.0650780393.

The spelling of 512124960 in words is "five hundred twelve million, one hundred twenty-four thousand, nine hundred sixty".