9490240800 has 288 divisors, whose sum is σ = 35432732160. Its totient is φ = 2448921600.

The previous prime is 9490240789. The next prime is 9490240811. The reversal of 9490240800 is 80420949.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9490240789) and next prime (9490240811).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 662514 + ... + 676686.

It is an arithmetic number, because the mean of its divisors is an integer number (123030320).

Almost surely, 2^9490240800 is an apocalyptic number.

9490240800 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 9490240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17716366080).

9490240800 is an abundant number, since it is smaller than the sum of its proper divisors (25942491360).

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

9490240800 is a wasteful number, since it uses less digits than its factorization.

9490240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14233 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9490240800 is about 97417.8669444163. The cubic root of 9490240800 is about 2117.1863111979.

The spelling of 9490240800 in words is "nine billion, four hundred ninety million, two hundred forty thousand, eight hundred".