9289472400 has 720 divisors, whose sum is σ = 37834800640. Its totient is φ = 2090188800.

The previous prime is 9289472389. The next prime is 9289472411. The reversal of 9289472400 is 42749829.

9289472400 is a `hidden beast` number, since 92 + 8 + 94 + 72 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (9289472389) and next prime (9289472411).

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 27565032 + ... + 27565368.

Almost surely, 2^9289472400 is an apocalyptic number.

9289472400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9289472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917400320).

9289472400 is an abundant number, since it is smaller than the sum of its proper divisors (28545328240).

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

9289472400 is a wasteful number, since it uses less digits than its factorization.

9289472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9289472400 is about 96381.9090908662. The cubic root of 9289472400 is about 2102.1499070922.

The spelling of 9289472400 in words is "nine billion, two hundred eighty-nine million, four hundred seventy-two thousand, four hundred".