985413582400 has 567 divisors, whose sum is σ = 2778185888499. Its totient is φ = 343832586240.

The previous prime is 985413582343. The next prime is 985413582407. The reversal of 985413582400 is 4285314589.

The square root of 985413582400 is 992680.

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

It can be written as a sum of positive squares in 4 ways, for example, as 253991808576 + 731421773824 = 503976^2 + 855232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (985413582407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11872452759 + ... + 11872452841.

Almost surely, 2^985413582400 is an apocalyptic number.

985413582400 is the 992680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985413582400

985413582400 is an abundant number, since it is smaller than the sum of its proper divisors (1792772306099).

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

985413582400 is a wasteful number, since it uses less digits than its factorization.

985413582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 985413582400 by its sum of digits (49), we get a square (48285265537600 = 6948760²).

Adding to 985413582400 its reverse (4285314589), we get a palindrome (989698896989).

The spelling of 985413582400 in words is "nine hundred eighty-five billion, four hundred thirteen million, five hundred eighty-two thousand, four hundred".