512494752 has 384 divisors, whose sum is σ = 1828915200. Its totient is φ = 121651200.

The previous prime is 512494729. The next prime is 512494811. The reversal of 512494752 is 257494215.

Its product of digits (100800) is a multiple of the sum of its prime factors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 512494752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5758324 + ... + 5758412.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^512494752 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 512494752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914457600).

512494752 is an abundant number, since it is smaller than the sum of its proper divisors (1316420448).

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

512494752 is a wasteful number, since it uses less digits than its factorization.

512494752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 512494752 is about 22638.3469361170. The cubic root of 512494752 is about 800.2576003770.

The spelling of 512494752 in words is "five hundred twelve million, four hundred ninety-four thousand, seven hundred fifty-two".