979941200 has 270 divisors, whose sum is σ = 2926077786. Its totient is φ = 314388480.

The previous prime is 979941191. The next prime is 979941253. The reversal of 979941200 is 2149979.

It is a happy number.

979941200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 784 + 979940416 = 28^2 + 31304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5664314 + ... + 5664486.

Almost surely, 2^979941200 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 979941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463038893).

979941200 is an abundant number, since it is smaller than the sum of its proper divisors (1946136586).

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

979941200 is a wasteful number, since it uses less digits than its factorization.

979941200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 979941200 is about 31304.0125223589. The cubic root of 979941200 is about 993.2685222142.

The spelling of 979941200 in words is "nine hundred seventy-nine million, nine hundred forty-one thousand, two hundred".