8455350240 has 336 divisors, whose sum is σ = 30401523936. Its totient is φ = 2220825600.

The previous prime is 8455350217. The next prime is 8455350251. The reversal of 8455350240 is 420535548.

8455350240 is a `hidden beast` number, since 84 + 5 + 535 + 0 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8455350195 and 8455350204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8280930 + ... + 8281950.

It is an arithmetic number, because the mean of its divisors is an integer number (90480726).

Almost surely, 2^8455350240 is an apocalyptic number.

8455350240 is a gapful number since it is divisible by the number (80) 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 8455350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200761968).

8455350240 is an abundant number, since it is smaller than the sum of its proper divisors (21946173696).

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

8455350240 is a wasteful number, since it uses less digits than its factorization.

8455350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 8455350240 is about 91952.9784183199. The cubic root of 8455350240 is about 2037.2478458452.

Adding to 8455350240 its reverse (420535548), we get a palindrome (8875885788).

The spelling of 8455350240 in words is "eight billion, four hundred fifty-five million, three hundred fifty thousand, two hundred forty".