480485332805184 has 168 divisors, whose sum is σ = 1584534366916800. Its totient is φ = 136360170980352.

The previous prime is 480485332805161. The next prime is 480485332805189. The reversal of 480485332805184 is 481508233584084.

480485332805184 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 8 + 5 + 3 + 32 + 80 + 518 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-4 number, since 4×480485332805184⁴ (a number of 60 digits) contains 4444 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 (480485332805189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399291814 + ... + 400493349.

Almost surely, 2^{480485332805184} is an apocalyptic number.

It is an amenable number.

480485332805184 is an abundant number, since it is smaller than the sum of its proper divisors (1104049034111616).

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

480485332805184 is a wasteful number, since it uses less digits than its factorization.

480485332805184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799785337 (or 799785324 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 480485332805184 in words is "four hundred eighty trillion, four hundred eighty-five billion, three hundred thirty-two million, eight hundred five thousand, one hundred eighty-four".