480180795 has 16 divisors (see below), whose sum is σ = 782786592. Its totient is φ = 251264000.

The previous prime is 480180791. The next prime is 480180823. The reversal of 480180795 is 597081084.

It is not a de Polignac number, because 480180795 - 2² = 480180791 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480180791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301206 + ... + 302795.

It is an arithmetic number, because the mean of its divisors is an integer number (48924162).

Almost surely, 2^480180795 is an apocalyptic number.

480180795 is a deficient number, since it is larger than the sum of its proper divisors (302605797).

480180795 is a wasteful number, since it uses less digits than its factorization.

480180795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604062.

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 480180795 is about 21913.0279742440. The cubic root of 480180795 is about 783.0718198518.

The spelling of 480180795 in words is "four hundred eighty million, one hundred eighty thousand, seven hundred ninety-five".