9482864400 has 225 divisors, whose sum is σ = 34096263663. Its totient is φ = 2524089600.

The previous prime is 9482864387. The next prime is 9482864429. The reversal of 9482864400 is 44682849.

The square root of 9482864400 is 97380.

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

9482864400 is a `hidden beast` number, since 94 + 82 + 86 + 4 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 559417104 + 8923447296 = 23652^2 + 94464^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17528130 + ... + 17528670.

Almost surely, 2^9482864400 is an apocalyptic number.

9482864400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9482864400 is the 97380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9482864400

9482864400 is an abundant number, since it is smaller than the sum of its proper divisors (24613399263).

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

9482864400 is an equidigital number, since it uses as much as digits as its factorization.

9482864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The cubic root of 9482864400 is about 2116.6376331259.

The spelling of 9482864400 in words is "nine billion, four hundred eighty-two million, eight hundred sixty-four thousand, four hundred".