532224900 has 81 divisors (see below), whose sum is σ = 1670401551. Its totient is φ = 141742080.

The previous prime is 532224877. The next prime is 532224911. The reversal of 532224900 is 9422235.

The square root of 532224900 is 23070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 32970564 + 499254336 = 5742^2 + 22344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 691716 + ... + 692484.

Almost surely, 2^532224900 is an apocalyptic number.

532224900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

532224900 is the 23070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532224900

532224900 is an abundant number, since it is smaller than the sum of its proper divisors (1138176651).

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

532224900 is a wasteful number, since it uses less digits than its factorization.

532224900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 532224900 is about 810.3980668018.

The spelling of 532224900 in words is "five hundred thirty-two million, two hundred twenty-four thousand, nine hundred".