8240298480 has 800 divisors, whose sum is σ = 33186447360. Its totient is φ = 1881169920.

The previous prime is 8240298433. The next prime is 8240298509. The reversal of 8240298480 is 848920428.

It is a happy number.

8240298480 is a `hidden beast` number, since 82 + 4 + 0 + 2 + 98 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64884177 + ... + 64884303.

Almost surely, 2^8240298480 is an apocalyptic number.

8240298480 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 8240298480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593223680).

8240298480 is an abundant number, since it is smaller than the sum of its proper divisors (24946148880).

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

8240298480 is a wasteful number, since it uses less digits than its factorization.

8240298480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8240298480 is about 90776.0898034279. The cubic root of 8240298480 is about 2019.8276557860.

The spelling of 8240298480 in words is "eight billion, two hundred forty million, two hundred ninety-eight thousand, four hundred eighty".