848249820 has 384 divisors, whose sum is σ = 3054965760. Its totient is φ = 195955200.

The previous prime is 848249819. The next prime is 848249933. The reversal of 848249820 is 28942848.

It is a happy number.

848249820 is a `hidden beast` number, since 84 + 82 + 498 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19726719 + ... + 19726761.

It is an arithmetic number, because the mean of its divisors is an integer number (7955640).

Almost surely, 2^848249820 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 848249820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527482880).

848249820 is an abundant number, since it is smaller than the sum of its proper divisors (2206715940).

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

848249820 is a wasteful number, since it uses less digits than its factorization.

848249820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 848249820 is about 29124.7286682640. The cubic root of 848249820 is about 946.6176375344.

The spelling of 848249820 in words is "eight hundred forty-eight million, two hundred forty-nine thousand, eight hundred twenty".