480704880960 has 140 divisors (see below), whose sum is σ = 1709951922228. Its totient is φ = 128187961344.

The previous prime is 480704880959. The next prime is 480704880989. The reversal of 480704880960 is 69088407084.

480704880960 is a `hidden beast` number, since 4 + 8 + 0 + 70 + 488 + 0 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125383977216 + 355320903744 = 354096^2 + 596088^2 .

It is a super-3 number, since 3×480704880960³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 480704880897 and 480704880906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9246937 + ... + 9298776.

Almost surely, 2^480704880960 is an apocalyptic number.

480704880960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480704880960 is an abundant number, since it is smaller than the sum of its proper divisors (1229247041268).

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

480704880960 is a wasteful number, since it uses less digits than its factorization.

480704880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18545742 (or 18545723 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 480704880960 in words is "four hundred eighty billion, seven hundred four million, eight hundred eighty thousand, nine hundred sixty".