480505402208658 has 64 divisors (see below), whose sum is σ = 1011905934105600. Its totient is φ = 151691213643840.

The previous prime is 480505402208647. The next prime is 480505402208683. The reversal of 480505402208658 is 856802204505084.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 480505402208598 and 480505402208607.

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 31 ways as a sum of consecutive naturals, for example, 5213035860 + ... + 5213128032.

It is an arithmetic number, because the mean of its divisors is an integer number (15811030220400).

Almost surely, 2^{480505402208658} is an apocalyptic number.

480505402208658 is an abundant number, since it is smaller than the sum of its proper divisors (531400531896942).

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

480505402208658 is a wasteful number, since it uses less digits than its factorization.

480505402208658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105967.

The product of its (nonzero) digits is 24576000, while the sum is 57.

The spelling of 480505402208658 in words is "four hundred eighty trillion, five hundred five billion, four hundred two million, two hundred eight thousand, six hundred fifty-eight".