985438944 has 144 divisors (see below), whose sum is σ = 3222955008. Its totient is φ = 279772416.

The previous prime is 985438939. The next prime is 985438981. The reversal of 985438944 is 449834589.

985438944 is a `hidden beast` number, since 9 + 8 + 543 + 8 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335209 + ... + 338135.

It is an arithmetic number, because the mean of its divisors is an integer number (22381632).

Almost surely, 2^985438944 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 985438944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611477504).

985438944 is an abundant number, since it is smaller than the sum of its proper divisors (2237516064).

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

985438944 is a wasteful number, since it uses less digits than its factorization.

985438944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3106 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 985438944 is about 31391.7018334464. The cubic root of 985438944 is about 995.1225639614.

The spelling of 985438944 in words is "nine hundred eighty-five million, four hundred thirty-eight thousand, nine hundred forty-four".