532224576 has 336 divisors, whose sum is σ = 1802337264. Its totient is φ = 148635648.

The previous prime is 532224557. The next prime is 532224607. The reversal of 532224576 is 675422235.

It can be written as a sum of positive squares in 8 ways, for example, as 11289600 + 520934976 = 3360^2 + 22824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 532224576.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4709896 + ... + 4710008.

It is an arithmetic number, because the mean of its divisors is an integer number (5364099).

Almost surely, 2^532224576 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 532224576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901168632).

532224576 is an abundant number, since it is smaller than the sum of its proper divisors (1270112688).

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

532224576 is a wasteful number, since it uses less digits than its factorization.

532224576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 532224576 is about 23069.9929778923. The cubic root of 532224576 is about 810.3979023544.

The spelling of 532224576 in words is "five hundred thirty-two million, two hundred twenty-four thousand, five hundred seventy-six".