9451728400 has 45 divisors (see below), whose sum is σ = 22712449863. Its totient is φ = 3779913600.

The previous prime is 9451728397. The next prime is 9451728413. The reversal of 9451728400 is 48271549.

The square root of 9451728400 is 97220.

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

9451728400 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 1145957904 + 8305770496 = 33852^2 + 91136^2 .

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 8 ways as a sum of consecutive naturals, for example, 1941970 + ... + 1946830.

Almost surely, 2^9451728400 is an apocalyptic number.

9451728400 is the 97220-th square number.

It is an amenable number.

9451728400 is an abundant number, since it is smaller than the sum of its proper divisors (13260721463).

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

9451728400 is an frugal number, since it uses more digits than its factorization.

9451728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9740 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The cubic root of 9451728400 is about 2114.3185064829.

Adding to 9451728400 its reverse (48271549), we get a palindrome (9499999949).

The spelling of 9451728400 in words is "nine billion, four hundred fifty-one million, seven hundred twenty-eight thousand, four hundred".