981794304 has 320 divisors, whose sum is σ = 3142656000. Its totient is φ = 301916160.

The previous prime is 981794291. The next prime is 981794309. The reversal of 981794304 is 403497189.

It is a self number, because there is not a number n which added to its sum of digits gives 981794304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981794309) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12427737 + ... + 12427815.

It is an arithmetic number, because the mean of its divisors is an integer number (9820800).

Almost surely, 2^981794304 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 981794304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571328000).

981794304 is an abundant number, since it is smaller than the sum of its proper divisors (2160861696).

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

981794304 is a wasteful number, since it uses less digits than its factorization.

981794304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 981794304 is about 31333.5970485356. The cubic root of 981794304 is about 993.8942301160.

The spelling of 981794304 in words is "nine hundred eighty-one million, seven hundred ninety-four thousand, three hundred four".