532509120 has 448 divisors, whose sum is σ = 2212116480. Its totient is φ = 118886400.

The previous prime is 532509113. The next prime is 532509121. The reversal of 532509120 is 21905235.

532509120 is a `hidden beast` number, since 5 + 32 + 509 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532509121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1235305 + ... + 1235735.

It is an arithmetic number, because the mean of its divisors is an integer number (4937760).

Almost surely, 2^532509120 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 532509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106058240).

532509120 is an abundant number, since it is smaller than the sum of its proper divisors (1679607360).

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

532509120 is a wasteful number, since it uses less digits than its factorization.

532509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 532509120 is about 23076.1591258164. The cubic root of 532509120 is about 810.5422980281.

The spelling of 532509120 in words is "five hundred thirty-two million, five hundred nine thousand, one hundred twenty".