8415581460 has 432 divisors, whose sum is σ = 29604012480. Its totient is φ = 1784090880.

The previous prime is 8415581443. The next prime is 8415581477. The reversal of 8415581460 is 641855148.

It is an interprime number because it is at equal distance from previous prime (8415581443) and next prime (8415581477).

It is a super-2 number, since 2×8415581460² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 442925331 + ... + 442925349.

Almost surely, 2^8415581460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8415581460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14802006240).

8415581460 is an abundant number, since it is smaller than the sum of its proper divisors (21188431020).

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

8415581460 is a wasteful number, since it uses less digits than its factorization.

8415581460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 8415581460 is about 91736.4783496729. The cubic root of 8415581460 is about 2034.0488372082.

The spelling of 8415581460 in words is "eight billion, four hundred fifteen million, five hundred eighty-one thousand, four hundred sixty".