480055934880 has 240 divisors, whose sum is σ = 1699993094184. Its totient is φ = 127576995840.

The previous prime is 480055934873. The next prime is 480055934923. The reversal of 480055934880 is 88439550084.

480055934880 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 5 + 593 + 48 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 479301443856 + 754491024 = 692316^2 + 27468^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×480055934880² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3734070 + ... + 3860490.

Almost surely, 2^480055934880 is an apocalyptic number.

480055934880 is a gapful number since it is divisible by the number (40) 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 480055934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849996547092).

480055934880 is an abundant number, since it is smaller than the sum of its proper divisors (1219937159304).

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

480055934880 is a wasteful number, since it uses less digits than its factorization.

480055934880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126741 (or 126724 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 480055934880 in words is "four hundred eighty billion, fifty-five million, nine hundred thirty-four thousand, eight hundred eighty".