512725344 has 48 divisors (see below), whose sum is σ = 1352926512. Its totient is φ = 170016768.

The previous prime is 512725333. The next prime is 512725349. The reversal of 512725344 is 443527215.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512725349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4692 + ... + 32364.

It is an arithmetic number, because the mean of its divisors is an integer number (28185969).

Almost surely, 2^512725344 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 512725344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676463256).

512725344 is an abundant number, since it is smaller than the sum of its proper divisors (840201168).

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

512725344 is a wasteful number, since it uses less digits than its factorization.

512725344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27879 (or 27871 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 512725344 is about 22643.4393147331. The cubic root of 512725344 is about 800.3776050733.

It can be divided in two parts, 51272 and 5344, that added together give a triangular number (56616 = T₃₃₆).

The spelling of 512725344 in words is "five hundred twelve million, seven hundred twenty-five thousand, three hundred forty-four".