512681472 has 240 divisors, whose sum is σ = 1584815232. Its totient is φ = 159252480.

The previous prime is 512681471. The next prime is 512681479. The reversal of 512681472 is 274186215.

512681472 is a `hidden beast` number, since 512 + 68 + 14 + 72 = 666.

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 (512681471) 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 23 ways as a sum of consecutive naturals, for example, 5285328 + ... + 5285424.

Almost surely, 2^512681472 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 512681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792407616).

512681472 is an abundant number, since it is smaller than the sum of its proper divisors (1072133760).

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

512681472 is a wasteful number, since it uses less digits than its factorization.

512681472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 512681472 is about 22642.4705365824. The cubic root of 512681472 is about 800.3547759776.

It can be divided in two parts, 512 and 681472, that multiplied together give a cube (348913664 = 704³).

The spelling of 512681472 in words is "five hundred twelve million, six hundred eighty-one thousand, four hundred seventy-two".