9835455240 has 192 divisors, whose sum is σ = 35501414400. Its totient is φ = 2420990208.

The previous prime is 9835455221. The next prime is 9835455367. The reversal of 9835455240 is 425545389.

9835455240 is a `hidden beast` number, since 9 + 8 + 3 + 54 + 552 + 40 = 666.

It is a super-3 number, since 3×9835455240³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 155577 + ... + 209463.

It is an arithmetic number, because the mean of its divisors is an integer number (184903200).

Almost surely, 2^9835455240 is an apocalyptic number.

9835455240 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 9835455240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17750707200).

9835455240 is an abundant number, since it is smaller than the sum of its proper divisors (25665959160).

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

9835455240 is a wasteful number, since it uses less digits than its factorization.

9835455240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53933 (or 53910 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 9835455240 is about 99173.8636940197. The cubic root of 9835455240 is about 2142.5525804863.

The spelling of 9835455240 in words is "nine billion, eight hundred thirty-five million, four hundred fifty-five thousand, two hundred forty".