849329280 has 256 divisors, whose sum is σ = 3140294400. Its totient is φ = 216539136.

The previous prime is 849329251. The next prime is 849329323. The reversal of 849329280 is 82923948.

849329280 is a `hidden beast` number, since 8 + 49 + 329 + 280 = 666.

849329280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396372 + ... + 398508.

It is an arithmetic number, because the mean of its divisors is an integer number (12266775).

Almost surely, 2^849329280 is an apocalyptic number.

849329280 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 849329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570147200).

849329280 is an abundant number, since it is smaller than the sum of its proper divisors (2290965120).

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

849329280 is a wasteful number, since it uses less digits than its factorization.

849329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 849329280 is about 29143.2544510732. The cubic root of 849329280 is about 947.0190140721.

It can be divided in two parts, 8493 and 29280, that added together give a palindrome (37773).

The spelling of 849329280 in words is "eight hundred forty-nine million, three hundred twenty-nine thousand, two hundred eighty".