8480936464 has 405 divisors, whose sum is σ = 23782878189. Its totient is φ = 2917474560.

The previous prime is 8480936461. The next prime is 8480936473. The reversal of 8480936464 is 4646390848.

It is a happy number.

The square root of 8480936464 is 92092.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1254576400 + 7226360064 = 35420^2 + 85008^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (8480936461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 368736357 + ... + 368736379.

Almost surely, 2^8480936464 is an apocalyptic number.

8480936464 is the 92092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8480936464

8480936464 is an abundant number, since it is smaller than the sum of its proper divisors (15301941725).

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

8480936464 is a wasteful number, since it uses less digits than its factorization.

8480936464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The cubic root of 8480936464 is about 2039.3007073882.

The spelling of 8480936464 in words is "eight billion, four hundred eighty million, nine hundred thirty-six thousand, four hundred sixty-four".