848090900 has 72 divisors (see below), whose sum is σ = 1956734136. Its totient is φ = 317952000.

The previous prime is 848090899. The next prime is 848090989. The reversal of 848090900 is 9090848.

It can be written as a sum of positive squares in 12 ways, for example, as 414285316 + 433805584 = 20354^2 + 20828^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470000 + ... + 471800.

It is an arithmetic number, because the mean of its divisors is an integer number (27176863).

Almost surely, 2^848090900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 848090900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978367068).

848090900 is an abundant number, since it is smaller than the sum of its proper divisors (1108643236).

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

848090900 is a wasteful number, since it uses less digits than its factorization.

848090900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 848090900 is about 29122.0002747064. Note that the first 3 decimals coincide. The cubic root of 848090900 is about 946.5585174233.

The spelling of 848090900 in words is "eight hundred forty-eight million, ninety thousand, nine hundred".