982834304400 has 1215 divisors, whose sum is σ = 3911581249641. Its totient is φ = 228413952000.

The previous prime is 982834304329. The next prime is 982834304411. The reversal of 982834304400 is 4403438289.

The square root of 982834304400 is 991380.

It is a perfect power (a square), and thus also a powerful number.

982834304400 is a `hidden beast` number, since 98 + 2 + 83 + 43 + 0 + 440 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 890690487696 + 92143816704 = 943764^2 + 303552^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 23971568380 + ... + 23971568420.

Almost surely, 2^982834304400 is an apocalyptic number.

982834304400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

982834304400 is the 991380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982834304400

982834304400 is an abundant number, since it is smaller than the sum of its proper divisors (2928746945241).

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

982834304400 is a wasteful number, since it uses less digits than its factorization.

982834304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 982834304400 in words is "nine hundred eighty-two billion, eight hundred thirty-four million, three hundred four thousand, four hundred".