9486400 has 189 divisors, whose sum is σ = 29846397. Its totient is φ = 2956800.

The previous prime is 9486361. The next prime is 9486409. The reversal of 9486400 is 46849.

The square root of 9486400 is 3080.

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., 3415104 + 6071296 = 1848^2 + 2464^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9486409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 862395 + ... + 862405.

Almost surely, 2^9486400 is an apocalyptic number.

9486400 is the 3080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9486400

9486400 is an abundant number, since it is smaller than the sum of its proper divisors (20359997).

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

9486400 is a wasteful number, since it uses less digits than its factorization.

9486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 9486400 is about 211.6900656823.

The spelling of 9486400 in words is "nine million, four hundred eighty-six thousand, four hundred".