9269838400 has 189 divisors, whose sum is σ = 23911302571. Its totient is φ = 3536942080.

The previous prime is 9269838397. The next prime is 9269838407. The reversal of 9269838400 is 48389629.

The square root of 9269838400 is 96280.

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 127418944 + 9142419456 = 11288^2 + 95616^2 .

It is a super-2 number, since 2×9269838400² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9269838407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 111684759 + ... + 111684841.

Almost surely, 2^9269838400 is an apocalyptic number.

9269838400 is the 96280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9269838400

9269838400 is an abundant number, since it is smaller than the sum of its proper divisors (14641464171).

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

9269838400 is an equidigital number, since it uses as much as digits as its factorization.

9269838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The cubic root of 9269838400 is about 2100.6678450336.

Multiplying 9269838400 by its sum of digits (49), we get a square (454222081600 = 673960²).

The spelling of 9269838400 in words is "nine billion, two hundred sixty-nine million, eight hundred thirty-eight thousand, four hundred".