1208848800 has 144 divisors (see below), whose sum is σ = 3974558112. Its totient is φ = 319104000.

The previous prime is 1208848787. The next prime is 1208848807. The reversal of 1208848800 is 88488021.

It is a super-2 number, since 2×1208848800² = 2922630842522880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1208848807) 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, 239907 + ... + 244893.

It is an arithmetic number, because the mean of its divisors is an integer number (27601098).

Almost surely, 2^1208848800 is an apocalyptic number.

1208848800 is a gapful number since it is divisible by the number (10) 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 1208848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987279056).

1208848800 is an abundant number, since it is smaller than the sum of its proper divisors (2765709312).

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

1208848800 is a wasteful number, since it uses less digits than its factorization.

1208848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 1208848800 is about 34768.5029876180. The cubic root of 1208848800 is about 1065.2641897867.

The spelling of 1208848800 in words is "one billion, two hundred eight million, eight hundred forty-eight thousand, eight hundred".