532461216 has 192 divisors, whose sum is σ = 1709309952. Its totient is φ = 141668352.

The previous prime is 532461173. The next prime is 532461221. The reversal of 532461216 is 612164235.

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, 1450665 + ... + 1451031.

It is an arithmetic number, because the mean of its divisors is an integer number (8902656).

Almost surely, 2^532461216 is an apocalyptic number.

532461216 is a gapful number since it is divisible by the number (56) 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 532461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854654976).

532461216 is an abundant number, since it is smaller than the sum of its proper divisors (1176848736).

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

532461216 is a wasteful number, since it uses less digits than its factorization.

532461216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 532461216 is about 23075.1211481110. The cubic root of 532461216 is about 810.5179921016.

The spelling of 532461216 in words is "five hundred thirty-two million, four hundred sixty-one thousand, two hundred sixteen".