980851200 has 480 divisors, whose sum is σ = 3836004480. Its totient is φ = 216268800.

The previous prime is 980851177. The next prime is 980851211. The reversal of 980851200 is 2158089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11020756 + ... + 11020844.

It is an arithmetic number, because the mean of its divisors is an integer number (7991676).

Almost surely, 2^980851200 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 980851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918002240).

980851200 is an abundant number, since it is smaller than the sum of its proper divisors (2855153280).

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

980851200 is a wasteful number, since it uses less digits than its factorization.

980851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 980851200 is about 31318.5440274608. The cubic root of 980851200 is about 993.5758857961.

The spelling of 980851200 in words is "nine hundred eighty million, eight hundred fifty-one thousand, two hundred".