527788260 has 72 divisors (see below), whose sum is σ = 1606340736. Its totient is φ = 140270400.

The previous prime is 527788259. The next prime is 527788267. The reversal of 527788260 is 62887725.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (527788267) 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 23 ways as a sum of consecutive naturals, for example, 50485 + ... + 60035.

It is an arithmetic number, because the mean of its divisors is an integer number (22310288).

Almost surely, 2^527788260 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 527788260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803170368).

527788260 is an abundant number, since it is smaller than the sum of its proper divisors (1078552476).

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

527788260 is a wasteful number, since it uses less digits than its factorization.

527788260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9873 (or 9868 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 527788260 is about 22973.6427237824. The cubic root of 527788260 is about 808.1399477392.

The spelling of 527788260 in words is "five hundred twenty-seven million, seven hundred eighty-eight thousand, two hundred sixty".