532576000 has 288 divisors, whose sum is σ = 1549679040. Its totient is φ = 180224000.

The previous prime is 532575991. The next prime is 532576013. The reversal of 532576000 is 675235.

It is a self number, because there is not a number n which added to its sum of digits gives 532576000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5983956 + ... + 5984044.

It is an arithmetic number, because the mean of its divisors is an integer number (5380830).

Almost surely, 2^532576000 is an apocalyptic number.

532576000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774839520).

532576000 is an abundant number, since it is smaller than the sum of its proper divisors (1017103040).

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

532576000 is a wasteful number, since it uses less digits than its factorization.

532576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 532576000 is about 23077.6081949582. The cubic root of 532576000 is about 810.5762297159.

The spelling of 532576000 in words is "five hundred thirty-two million, five hundred seventy-six thousand".