9427298400 has 1080 divisors, whose sum is σ = 40335793344. Its totient is φ = 2127513600.

The previous prime is 9427298359. The next prime is 9427298401. The reversal of 9427298400 is 48927249.

9427298400 is a `hidden beast` number, since 94 + 2 + 72 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9427298401) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 304106385 + ... + 304106415.

Almost surely, 2^9427298400 is an apocalyptic number.

9427298400 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 9427298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167896672).

9427298400 is an abundant number, since it is smaller than the sum of its proper divisors (30908494944).

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

9427298400 is a wasteful number, since it uses less digits than its factorization.

9427298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 73 counting only the distinct ones).

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

The square root of 9427298400 is about 97094.2758353962. The cubic root of 9427298400 is about 2112.4952996406.

The spelling of 9427298400 in words is "nine billion, four hundred twenty-seven million, two hundred ninety-eight thousand, four hundred".