849240000 has 420 divisors, whose sum is σ = 3486621424. Its totient is φ = 193536000.

The previous prime is 849239999. The next prime is 849240001. The reversal of 849240000 is 42948.

It is an interprime number because it is at equal distance from previous prime (849239999) and next prime (849240001).

It is a tau number, because it is divible by the number of its divisors (420).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849240001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2519832 + ... + 2520168.

Almost surely, 2^849240000 is an apocalyptic number.

849240000 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 849240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743310712).

849240000 is an abundant number, since it is smaller than the sum of its proper divisors (2637381424).

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

849240000 is a wasteful number, since it uses less digits than its factorization.

849240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 849240000 is about 29141.7226669941. The cubic root of 849240000 is about 946.9858299183.

Adding to 849240000 its reverse (42948), we get a palindrome (849282948).

The spelling of 849240000 in words is "eight hundred forty-nine million, two hundred forty thousand".