480433655808 has 208 divisors, whose sum is σ = 1424893254400. Its totient is φ = 159969116160.

The previous prime is 480433655803. The next prime is 480433655813. The reversal of 480433655808 is 808556334084.

480433655808 is a `hidden beast` number, since 4 + 80 + 4 + 3 + 3 + 6 + 558 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (480433655803) and next prime (480433655813).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480433655803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136136988 + ... + 136140516.

Almost surely, 2^480433655808 is an apocalyptic number.

480433655808 is a gapful number since it is divisible by the number (48) 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 480433655808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712446627200).

480433655808 is an abundant number, since it is smaller than the sum of its proper divisors (944459598592).

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

480433655808 is a wasteful number, since it uses less digits than its factorization.

480433655808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 480433655808 in words is "four hundred eighty billion, four hundred thirty-three million, six hundred fifty-five thousand, eight hundred eight".