9007459200 has 960 divisors, whose sum is σ = 36729792000. Its totient is φ = 2164838400.

The previous prime is 9007459147. The next prime is 9007459211. The reversal of 9007459200 is 29547009.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×9007459200² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 152668771 + ... + 152668829.

It is an arithmetic number, because the mean of its divisors is an integer number (38260200).

Almost surely, 2^9007459200 is an apocalyptic number.

9007459200 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 9007459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18364896000).

9007459200 is an abundant number, since it is smaller than the sum of its proper divisors (27722332800).

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

9007459200 is a wasteful number, since it uses less digits than its factorization.

9007459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 9007459200 is about 94907.6350985525. The cubic root of 9007459200 is about 2080.6583221903.

The spelling of 9007459200 in words is "nine billion, seven million, four hundred fifty-nine thousand, two hundred".