527322432 has 112 divisors (see below), whose sum is σ = 1717235072. Its totient is φ = 139069440.

The previous prime is 527322413. The next prime is 527322461. The reversal of 527322432 is 234223725.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 527322432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2382 + ... + 32562.

It is an arithmetic number, because the mean of its divisors is an integer number (15332456).

Almost surely, 2^527322432 is an apocalyptic number.

527322432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858617536).

527322432 is an abundant number, since it is smaller than the sum of its proper divisors (1189912640).

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

527322432 is a wasteful number, since it uses less digits than its factorization.

527322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30216 (or 30206 counting only the distinct ones).

The product of its digits is 20160, while the sum is 30.

The square root of 527322432 is about 22963.5021719249. The cubic root of 527322432 is about 807.9021219216.

The spelling of 527322432 in words is "five hundred twenty-seven million, three hundred twenty-two thousand, four hundred thirty-two".