512048160 has 288 divisors, whose sum is σ = 1993708080. Its totient is φ = 118554624.

The previous prime is 512048071. The next prime is 512048161. The reversal of 512048160 is 61840215.

512048160 is a `hidden beast` number, since 5 + 120 + 481 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 355397904 + 156650256 = 18852^2 + 12516^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (512048161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317436 + ... + 319044.

Almost surely, 2^512048160 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 512048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996854040).

512048160 is an abundant number, since it is smaller than the sum of its proper divisors (1481659920).

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

512048160 is a wasteful number, since it uses less digits than its factorization.

512048160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 512048160 is about 22628.4811686512. The cubic root of 512048160 is about 800.0250825469.

Adding to 512048160 its reverse (61840215), we get a palindrome (573888375).

The spelling of 512048160 in words is "five hundred twelve million, forty-eight thousand, one hundred sixty".