849438720 has 288 divisors, whose sum is σ = 3174935400. Its totient is φ = 208797696.

The previous prime is 849438673. The next prime is 849438721. The reversal of 849438720 is 27834948.

It can be written as a sum of positive squares in 4 ways, for example, as 357663744 + 491774976 = 18912^2 + 22176^2 .

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

It is a super-2 number, since 2×849438720² = 1443092278070476800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (849438721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197726 + ... + 1198434.

Almost surely, 2^849438720 is an apocalyptic number.

849438720 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 849438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587467700).

849438720 is an abundant number, since it is smaller than the sum of its proper divisors (2325496680).

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

849438720 is a wasteful number, since it uses less digits than its factorization.

849438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 849438720 is about 29145.1320120531. The cubic root of 849438720 is about 947.0596882496.

It can be divided in two parts, 849 and 438720, that added together give a square (439569 = 663²).

The spelling of 849438720 in words is "eight hundred forty-nine million, four hundred thirty-eight thousand, seven hundred twenty".