948585456 has 240 divisors, whose sum is σ = 3293122560. Its totient is φ = 248209920.

The previous prime is 948585437. The next prime is 948585487. The reversal of 948585456 is 654585849.

948585456 is a `hidden beast` number, since 9 + 4 + 8 + 585 + 4 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2502675 + ... + 2503053.

It is an arithmetic number, because the mean of its divisors is an integer number (13721344).

Almost surely, 2^948585456 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 948585456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646561280).

948585456 is an abundant number, since it is smaller than the sum of its proper divisors (2344537104).

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

948585456 is a wasteful number, since it uses less digits than its factorization.

948585456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 595 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 948585456 is about 30799.1145327264. The cubic root of 948585456 is about 982.5594129136.

The spelling of 948585456 in words is "nine hundred forty-eight million, five hundred eighty-five thousand, four hundred fifty-six".