855464004 has 84 divisors (see below), whose sum is σ = 2376737244. Its totient is φ = 268365312.

The previous prime is 855463997. The next prime is 855464023. The reversal of 855464004 is 400464558.

855464004 is a `hidden beast` number, since 8 + 5 + 5 + 4 + 640 + 0 + 4 = 666.

855464004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 298598400 + 556865604 = 17280^2 + 23598^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 855464004.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40944 + ... + 58200.

It is an arithmetic number, because the mean of its divisors is an integer number (28294491).

Almost surely, 2^855464004 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 855464004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188368622).

855464004 is an abundant number, since it is smaller than the sum of its proper divisors (1521273240).

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

855464004 is a wasteful number, since it uses less digits than its factorization.

855464004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17296 (or 17279 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 855464004 is about 29248.3162592311. The cubic root of 855464004 is about 949.2936592570.

The spelling of 855464004 in words is "eight hundred fifty-five million, four hundred sixty-four thousand, four".