8456970240 has 280 divisors, whose sum is σ = 30329847900. Its totient is φ = 2254307328.

The previous prime is 8456970199. The next prime is 8456970241. The reversal of 8456970240 is 420796548.

It is a happy number.

8456970240 is a `hidden beast` number, since 84 + 569 + 7 + 0 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8177946624 + 279023616 = 90432^2 + 16704^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8456970241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3316486 + ... + 3319034.

Almost surely, 2^8456970240 is an apocalyptic number.

8456970240 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 8456970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15164923950).

8456970240 is an abundant number, since it is smaller than the sum of its proper divisors (21872877660).

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

8456970240 is an equidigital number, since it uses as much as digits as its factorization.

8456970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 8456970240 is about 91961.7868464940. The cubic root of 8456970240 is about 2037.3779461432.

The spelling of 8456970240 in words is "eight billion, four hundred fifty-six million, nine hundred seventy thousand, two hundred forty".