532578816 has 480 divisors, whose sum is σ = 2042726400. Its totient is φ = 129392640.

The previous prime is 532578811. The next prime is 532578829. The reversal of 532578816 is 618875235.

Its product of digits (403200) is a multiple of the sum of its prime factors (140).

It is not an unprimeable number, because it can be changed into a prime (532578811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6741465 + ... + 6741543.

It is an arithmetic number, because the mean of its divisors is an integer number (4255680).

Almost surely, 2^532578816 is an apocalyptic number.

532578816 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 532578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021363200).

532578816 is an abundant number, since it is smaller than the sum of its proper divisors (1510147584).

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

532578816 is a wasteful number, since it uses less digits than its factorization.

532578816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 532578816 is about 23077.6692063995. The cubic root of 532578816 is about 810.5776583562.

The spelling of 532578816 in words is "five hundred thirty-two million, five hundred seventy-eight thousand, eight hundred sixteen".