198979300 has 72 divisors (see below), whose sum is σ = 467548200. Its totient is φ = 73067520.

The previous prime is 198979283. The next prime is 198979309. The reversal of 198979300 is 3979891.

It can be written as a sum of positive squares in 12 ways, for example, as 169624576 + 29354724 = 13024^2 + 5418^2 .

It is not an unprimeable number, because it can be changed into a prime (198979309) 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, 349416 + ... + 349984.

It is an arithmetic number, because the mean of its divisors is an integer number (6493725).

Almost surely, 2^198979300 is an apocalyptic number.

198979300 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 198979300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233774100).

198979300 is an abundant number, since it is smaller than the sum of its proper divisors (268568900).

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

198979300 is a wasteful number, since it uses less digits than its factorization.

198979300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 46.

The square root of 198979300 is about 14106.0022685380. The cubic root of 198979300 is about 583.8070021232.

The spelling of 198979300 in words is "one hundred ninety-eight million, nine hundred seventy-nine thousand, three hundred".