985755456 has 336 divisors, whose sum is σ = 3394984320. Its totient is φ = 267632640.

The previous prime is 985755451. The next prime is 985755457. The reversal of 985755456 is 654557589.

985755456 is a `hidden beast` number, since 9 + 85 + 7 + 554 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985755451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11075860 + ... + 11075948.

It is an arithmetic number, because the mean of its divisors is an integer number (10104120).

Almost surely, 2^985755456 is an apocalyptic number.

985755456 is a gapful number since it is divisible by the number (96) 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 985755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697492160).

985755456 is an abundant number, since it is smaller than the sum of its proper divisors (2409228864).

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

985755456 is a wasteful number, since it uses less digits than its factorization.

985755456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The square root of 985755456 is about 31396.7427609935. The cubic root of 985755456 is about 995.2290933138.

The spelling of 985755456 in words is "nine hundred eighty-five million, seven hundred fifty-five thousand, four hundred fifty-six".