1198789200 has 480 divisors, whose sum is σ = 4955992320. Its totient is φ = 269568000.

The previous prime is 1198789181. The next prime is 1198789247. The reversal of 1198789200 is 29878911.

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 95 ways as a sum of consecutive naturals, for example, 7635522 + ... + 7635678.

It is an arithmetic number, because the mean of its divisors is an integer number (10324984).

Almost surely, 2^1198789200 is an apocalyptic number.

1198789200 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 1198789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477996160).

1198789200 is an abundant number, since it is smaller than the sum of its proper divisors (3757203120).

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

1198789200 is a wasteful number, since it uses less digits than its factorization.

1198789200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 1198789200 is about 34623.5353480837. The cubic root of 1198789200 is about 1062.3010414084.

The spelling of 1198789200 in words is "one billion, one hundred ninety-eight million, seven hundred eighty-nine thousand, two hundred".