985905432 has 112 divisors (see below), whose sum is σ = 2811808080. Its totient is φ = 323870400.

The previous prime is 985905413. The next prime is 985905439. The reversal of 985905432 is 234509589.

985905432 is a `hidden beast` number, since 9 + 8 + 590 + 54 + 3 + 2 = 666.

985905432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985905439) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 412882 + ... + 415262.

Almost surely, 2^985905432 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 985905432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405904040).

985905432 is an abundant number, since it is smaller than the sum of its proper divisors (1825902648).

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

985905432 is a wasteful number, since it uses less digits than its factorization.

985905432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 985905432 is about 31399.1310707796. The cubic root of 985905432 is about 995.2795632042.

The spelling of 985905432 in words is "nine hundred eighty-five million, nine hundred five thousand, four hundred thirty-two".