527980032 has 200 divisors, whose sum is σ = 1633935600. Its totient is φ = 169537536.

The previous prime is 527980031. The next prime is 527980039. The reversal of 527980032 is 230089725.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527980031) 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 19 ways as a sum of consecutive naturals, for example, 1202469 + ... + 1202907.

It is an arithmetic number, because the mean of its divisors is an integer number (8169678).

Almost surely, 2^527980032 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 527980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816967800).

527980032 is an abundant number, since it is smaller than the sum of its proper divisors (1105955568).

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

527980032 is an equidigital number, since it uses as much as digits as its factorization.

527980032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 527980032 is about 22977.8160842148. The cubic root of 527980032 is about 808.2378151727.

The spelling of 527980032 in words is "five hundred twenty-seven million, nine hundred eighty thousand, thirty-two".