8460267440 has 160 divisors (see below), whose sum is σ = 20762153280. Its totient is φ = 3201830912.

The previous prime is 8460267421. The next prime is 8460267499. The reversal of 8460267440 is 447620648.

It is a super-2 number, since 2×8460267440² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42945422 + ... + 42945618.

It is an arithmetic number, because the mean of its divisors is an integer number (129763458).

Almost surely, 2^8460267440 is an apocalyptic number.

8460267440 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 8460267440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10381076640).

8460267440 is an abundant number, since it is smaller than the sum of its proper divisors (12301885840).

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

8460267440 is a wasteful number, since it uses less digits than its factorization.

8460267440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The square root of 8460267440 is about 91979.7121108780. The cubic root of 8460267440 is about 2037.6426890924.

The spelling of 8460267440 in words is "eight billion, four hundred sixty million, two hundred sixty-seven thousand, four hundred forty".