512406144 has 192 divisors, whose sum is σ = 1563831360. Its totient is φ = 160714752.

The previous prime is 512406143. The next prime is 512406149. The reversal of 512406144 is 441604215.

512406144 is a `hidden beast` number, since 5 + 1 + 2 + 40 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (512406143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2199052 + ... + 2199284.

It is an arithmetic number, because the mean of its divisors is an integer number (8144955).

Almost surely, 2^512406144 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 512406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781915680).

512406144 is an abundant number, since it is smaller than the sum of its proper divisors (1051425216).

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

512406144 is a wasteful number, since it uses less digits than its factorization.

512406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 512406144 is about 22636.3898181667. The cubic root of 512406144 is about 800.2114774250.

The spelling of 512406144 in words is "five hundred twelve million, four hundred six thousand, one hundred forty-four".