854289360 has 120 divisors (see below), whose sum is σ = 2877584424. Its totient is φ = 227128320.

The previous prime is 854289349. The next prime is 854289361. The reversal of 854289360 is 63982458.

854289360 is a `hidden beast` number, since 8 + 5 + 4 + 289 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 847508544 = 2604^2 + 29112^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854289361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266970 + ... + 270150.

Almost surely, 2^854289360 is an apocalyptic number.

854289360 is a gapful number since it is divisible by the number (80) 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 854289360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438792212).

854289360 is an abundant number, since it is smaller than the sum of its proper divisors (2023295064).

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

854289360 is a wasteful number, since it uses less digits than its factorization.

854289360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 854289360 is about 29228.2288207821. The cubic root of 854289360 is about 948.8589661698.

The spelling of 854289360 in words is "eight hundred fifty-four million, two hundred eighty-nine thousand, three hundred sixty".