9304772400 has 960 divisors, whose sum is σ = 42157301760. Its totient is φ = 1893196800.

The previous prime is 9304772377. The next prime is 9304772417. The reversal of 9304772400 is 42774039.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55717117 + ... + 55717283.

It is an arithmetic number, because the mean of its divisors is an integer number (43913856).

Almost surely, 2^9304772400 is an apocalyptic number.

9304772400 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 9304772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21078650880).

9304772400 is an abundant number, since it is smaller than the sum of its proper divisors (32852529360).

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

9304772400 is a wasteful number, since it uses less digits than its factorization.

9304772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 9304772400 is about 96461.2481777009. The cubic root of 9304772400 is about 2103.3033723853.

The spelling of 9304772400 in words is "nine billion, three hundred four million, seven hundred seventy-two thousand, four hundred".