527250240 has 504 divisors, whose sum is σ = 2134346760. Its totient is φ = 118947840.

The previous prime is 527250233. The next prime is 527250281. The reversal of 527250240 is 42052725.

527250240 is a `hidden beast` number, since 52 + 72 + 502 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47114496 + 480135744 = 6864^2 + 21912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5924116 + ... + 5924204.

It is an arithmetic number, because the mean of its divisors is an integer number (4234815).

Almost surely, 2^527250240 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 527250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067173380).

527250240 is an abundant number, since it is smaller than the sum of its proper divisors (1607096520).

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

527250240 is a wasteful number, since it uses less digits than its factorization.

527250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 527250240 is about 22961.9302324521. The cubic root of 527250240 is about 807.8652521760.

The spelling of 527250240 in words is "five hundred twenty-seven million, two hundred fifty thousand, two hundred forty".