527980992 has 224 divisors, whose sum is σ = 1769693184. Its totient is φ = 134937600.

The previous prime is 527980967. The next prime is 527980993. The reversal of 527980992 is 299089725.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527980993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049413 + ... + 1049915.

It is an arithmetic number, because the mean of its divisors is an integer number (7900416).

Almost surely, 2^527980992 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 527980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884846592).

527980992 is an abundant number, since it is smaller than the sum of its proper divisors (1241712192).

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

527980992 is a wasteful number, since it uses less digits than its factorization.

527980992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 527980992 is about 22977.8369739190. The cubic root of 527980992 is about 808.2383050320.

The spelling of 527980992 in words is "five hundred twenty-seven million, nine hundred eighty thousand, nine hundred ninety-two".