480263021342208 has 240 divisors, whose sum is σ = 1540843866097536. Its totient is φ = 143006358159360.

The previous prime is 480263021342171. The next prime is 480263021342243. The reversal of 480263021342208 is 802243120362084.

480263021342208 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 6 + 3 + 0 + 213 + 422 + 0 + 8 = 666.

It is a super-2 number, since 2×480263021342208² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 127452835 + ... + 131166882.

Almost surely, 2^{480263021342208} is an apocalyptic number.

480263021342208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480263021342208 is an abundant number, since it is smaller than the sum of its proper divisors (1060580844755328).

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

480263021342208 is a wasteful number, since it uses less digits than its factorization.

480263021342208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258619785 (or 258619766 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 480263021342208 in words is "four hundred eighty trillion, two hundred sixty-three billion, twenty-one million, three hundred forty-two thousand, two hundred eight".