8410956480 has 672 divisors, whose sum is σ = 32751613440. Its totient is φ = 1970749440.

The previous prime is 8410956469. The next prime is 8410956493. The reversal of 8410956480 is 846590148.

8410956480 is a `hidden beast` number, since 8 + 4 + 1 + 0 + 9 + 564 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51600879 + ... + 51601041.

It is an arithmetic number, because the mean of its divisors is an integer number (48737520).

Almost surely, 2^8410956480 is an apocalyptic number.

8410956480 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 8410956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375806720).

8410956480 is an abundant number, since it is smaller than the sum of its proper divisors (24340656960).

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

8410956480 is a wasteful number, since it uses less digits than its factorization.

8410956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8410956480 is about 91711.2669196103. The cubic root of 8410956480 is about 2033.6761491920.

The spelling of 8410956480 in words is "eight billion, four hundred ten million, nine hundred fifty-six thousand, four hundred eighty".