512394660 has 288 divisors, whose sum is σ = 1761177600. Its totient is φ = 124571520.

The previous prime is 512394653. The next prime is 512394661. The reversal of 512394660 is 66493215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512394661) 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 95 ways as a sum of consecutive naturals, for example, 2862451 + ... + 2862629.

It is an arithmetic number, because the mean of its divisors is an integer number (6115200).

Almost surely, 2^512394660 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 512394660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

512394660 is an abundant number, since it is smaller than the sum of its proper divisors (1248782940).

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

512394660 is a wasteful number, since it uses less digits than its factorization.

512394660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 512394660 is about 22636.1361543882. The cubic root of 512394660 is about 800.2054992914.

The spelling of 512394660 in words is "five hundred twelve million, three hundred ninety-four thousand, six hundred sixty".