527958432 has 96 divisors (see below), whose sum is σ = 1566129600. Its totient is φ = 172986624.

The previous prime is 527958421. The next prime is 527958461. The reversal of 527958432 is 234859725.

527958432 is a `hidden beast` number, since 527 + 95 + 8 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 45798 + ... + 56154.

It is an arithmetic number, because the mean of its divisors is an integer number (16313850).

Almost surely, 2^527958432 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 527958432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783064800).

527958432 is an abundant number, since it is smaller than the sum of its proper divisors (1038171168).

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

527958432 is a wasteful number, since it uses less digits than its factorization.

527958432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10435 (or 10421 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 527958432 is about 22977.3460608487. The cubic root of 527958432 is about 808.2267931808.

The spelling of 527958432 in words is "five hundred twenty-seven million, nine hundred fifty-eight thousand, four hundred thirty-two".