1198485792 has 288 divisors, whose sum is σ = 4079222784. Its totient is φ = 326592000.

The previous prime is 1198485791. The next prime is 1198485829. The reversal of 1198485792 is 2975848911.

It is a happy number.

1198485792 is a `hidden beast` number, since 1 + 1 + 98 + 485 + 79 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1198485791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7936917 + ... + 7937067.

It is an arithmetic number, because the mean of its divisors is an integer number (14163968).

Almost surely, 2^1198485792 is an apocalyptic number.

1198485792 is a gapful number since it is divisible by the number (12) 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 1198485792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039611392).

1198485792 is an abundant number, since it is smaller than the sum of its proper divisors (2880736992).

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

1198485792 is a wasteful number, since it uses less digits than its factorization.

1198485792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The square root of 1198485792 is about 34619.1535425117. The cubic root of 1198485792 is about 1062.2114126869.

The spelling of 1198485792 in words is "one billion, one hundred ninety-eight million, four hundred eighty-five thousand, seven hundred ninety-two".