480507942386304 has 480 divisors, whose sum is σ = 1672641256546260. Its totient is φ = 136529460264960.

The previous prime is 480507942386233. The next prime is 480507942386347. The reversal of 480507942386304 is 403683249705084.

480507942386304 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 0 + 7 + 94 + 238 + 6 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 336320681546304 + 144187260840000 = 18339048^2 + 12007800^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 89341024 + ... + 94566560.

Almost surely, 2^{480507942386304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480507942386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836320628273130).

480507942386304 is an abundant number, since it is smaller than the sum of its proper divisors (1192133314159956).

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

480507942386304 is a wasteful number, since it uses less digits than its factorization.

480507942386304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5225758 (or 5225730 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 480507942386304 in words is "four hundred eighty trillion, five hundred seven billion, nine hundred forty-two million, three hundred eighty-six thousand, three hundred four".