9597450240 has 1152 divisors, whose sum is σ = 42928704000. Its totient is φ = 2006581248.

The previous prime is 9597450229. The next prime is 9597450241. The reversal of 9597450240 is 420547959.

9597450240 is a `hidden beast` number, since 9 + 597 + 4 + 50 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×9597450240² (a number of 21 digits) contains 22 as substring.

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 (9597450241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330946546 + ... + 330946574.

It is an arithmetic number, because the mean of its divisors is an integer number (37264500).

Almost surely, 2^9597450240 is an apocalyptic number.

9597450240 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 9597450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352000).

9597450240 is an abundant number, since it is smaller than the sum of its proper divisors (33331253760).

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

9597450240 is a wasteful number, since it uses less digits than its factorization.

9597450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 9597450240 is about 97966.5771577225. The cubic root of 9597450240 is about 2125.1289602936.

The spelling of 9597450240 in words is "nine billion, five hundred ninety-seven million, four hundred fifty thousand, two hundred forty".