532408320 has 288 divisors, whose sum is σ = 1897295400. Its totient is φ = 138018816.

The previous prime is 532408319. The next prime is 532408343. The reversal of 532408320 is 23804235.

It can be written as a sum of positive squares in 4 ways, for example, as 500327424 + 32080896 = 22368^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4884426 + ... + 4884534.

Almost surely, 2^532408320 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 532408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948647700).

532408320 is an abundant number, since it is smaller than the sum of its proper divisors (1364887080).

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

532408320 is a wasteful number, since it uses less digits than its factorization.

532408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 532408320 is about 23073.9749501468. The cubic root of 532408320 is about 810.4911515993.

The spelling of 532408320 in words is "five hundred thirty-two million, four hundred eight thousand, three hundred twenty".