849270240 has 288 divisors, whose sum is σ = 3567485376. Its totient is φ = 179159040.

The previous prime is 849270223. The next prime is 849270271. The reversal of 849270240 is 42072948.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 849270195 and 849270204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127800 + ... + 134280.

It is an arithmetic number, because the mean of its divisors is an integer number (12387102).

Almost surely, 2^849270240 is an apocalyptic number.

849270240 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 849270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783742688).

849270240 is an abundant number, since it is smaller than the sum of its proper divisors (2718215136).

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

849270240 is a wasteful number, since it uses less digits than its factorization.

849270240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6522 (or 6511 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 849270240 is about 29142.2415061024. The cubic root of 849270240 is about 946.9970699728.

The spelling of 849270240 in words is "eight hundred forty-nine million, two hundred seventy thousand, two hundred forty".