855264384 has 288 divisors, whose sum is σ = 2795420160. Its totient is φ = 250398720.

The previous prime is 855264353. The next prime is 855264401. The reversal of 855264384 is 483462558.

855264384 is a `hidden beast` number, since 8 + 5 + 5 + 264 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 4477729 + ... + 4477919.

It is an arithmetic number, because the mean of its divisors is an integer number (9706320).

Almost surely, 2^855264384 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 855264384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397710080).

855264384 is an abundant number, since it is smaller than the sum of its proper divisors (1940155776).

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

855264384 is a wasteful number, since it uses less digits than its factorization.

855264384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 855264384 is about 29244.9035560044. The cubic root of 855264384 is about 949.2198152219.

The spelling of 855264384 in words is "eight hundred fifty-five million, two hundred sixty-four thousand, three hundred eighty-four".