480714808896 has 189 divisors, whose sum is σ = 1603231037499. Its totient is φ = 137313808128.

The previous prime is 480714808877. The next prime is 480714808897. The reversal of 480714808896 is 698808417084.

The square root of 480714808896 is 693336.

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

480714808896 is a `hidden beast` number, since 4 + 8 + 0 + 71 + 480 + 8 + 89 + 6 = 666.

It is a super-3 number, since 3×480714808896³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (480714808897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 116478385 + ... + 116482511.

Almost surely, 2^480714808896 is an apocalyptic number.

480714808896 is the 693336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480714808896

480714808896 is an abundant number, since it is smaller than the sum of its proper divisors (1122516228603).

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

480714808896 is an frugal number, since it uses more digits than its factorization.

480714808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 480714808896 in words is "four hundred eighty billion, seven hundred fourteen million, eight hundred eight thousand, eight hundred ninety-six".