9250502400 has 864 divisors, whose sum is σ = 37227617280. Its totient is φ = 2238382080.

The previous prime is 9250502399. The next prime is 9250502407. The reversal of 9250502400 is 42050529.

9250502400 is a `hidden beast` number, since 9 + 250 + 5 + 0 + 2 + 400 = 666.

9250502400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9250502407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138067167 + ... + 138067233.

It is an arithmetic number, because the mean of its divisors is an integer number (43087520).

Almost surely, 2^9250502400 is an apocalyptic number.

9250502400 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 9250502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18613808640).

9250502400 is an abundant number, since it is smaller than the sum of its proper divisors (27977114880).

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

9250502400 is a wasteful number, since it uses less digits than its factorization.

9250502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 9250502400 is about 96179.5321261234. The cubic root of 9250502400 is about 2099.2062306168.

Adding to 9250502400 its reverse (42050529), we get a palindrome (9292552929).

The spelling of 9250502400 in words is "nine billion, two hundred fifty million, five hundred two thousand, four hundred".