9804960400 has 45 divisors (see below), whose sum is σ = 23561176233. Its totient is φ = 3921192000.

The previous prime is 9804960383. The next prime is 9804960401. The reversal of 9804960400 is 40694089.

The square root of 9804960400 is 99020.

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

It can be written as a sum of positive squares in only one way, i.e., 3529785744 + 6275174656 = 59412^2 + 79216^2 .

It is a super-2 number, since 2×9804960400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9804960401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1977925 + ... + 1982875.

Almost surely, 2^9804960400 is an apocalyptic number.

9804960400 is the 99020-th square number.

It is an amenable number.

9804960400 is an abundant number, since it is smaller than the sum of its proper divisors (13756215833).

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

9804960400 is an frugal number, since it uses more digits than its factorization.

9804960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The cubic root of 9804960400 is about 2140.3359591337.

The spelling of 9804960400 in words is "nine billion, eight hundred four million, nine hundred sixty thousand, four hundred".