9797040400 has 225 divisors, whose sum is σ = 27733213583. Its totient is φ = 3325728000.

The previous prime is 9797040397. The next prime is 9797040413. The reversal of 9797040400 is 40407979.

The square root of 9797040400 is 98980.

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

9797040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1808971024 + 7988069376 = 42532^2 + 89376^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97000350 + ... + 97000450.

Almost surely, 2^9797040400 is an apocalyptic number.

9797040400 is the 98980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9797040400

9797040400 is an abundant number, since it is smaller than the sum of its proper divisors (17936173183).

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

9797040400 is an equidigital number, since it uses as much as digits as its factorization.

9797040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The cubic root of 9797040400 is about 2139.7595152944.

Multiplying 9797040400 by its product of nonzero digits (63504), we get a square (622151253561600 = 24942960²).

The spelling of 9797040400 in words is "nine billion, seven hundred ninety-seven million, forty thousand, four hundred".