527820384 has 192 divisors, whose sum is σ = 1761177600. Its totient is φ = 134645760.

The previous prime is 527820379. The next prime is 527820389. The reversal of 527820384 is 483028725.

It is an interprime number because it is at equal distance from previous prime (527820379) and next prime (527820389).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527820389) 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 31 ways as a sum of consecutive naturals, for example, 269842 + ... + 271790.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 2^527820384 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 527820384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

527820384 is an abundant number, since it is smaller than the sum of its proper divisors (1233357216).

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

527820384 is a wasteful number, since it uses less digits than its factorization.

527820384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 527820384 is about 22974.3418621731. The cubic root of 527820384 is about 808.1563433047.

The spelling of 527820384 in words is "five hundred twenty-seven million, eight hundred twenty thousand, three hundred eighty-four".