480816177 has 8 divisors (see below), whose sum is σ = 641306880. Its totient is φ = 320434800.

The previous prime is 480816131. The next prime is 480816229. The reversal of 480816177 is 771618084.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-480816177 is a prime.

It is a super-3 number, since 3×480816177³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480817177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16449 + ... + 35102.

It is an arithmetic number, because the mean of its divisors is an integer number (80163360).

Almost surely, 2^480816177 is an apocalyptic number.

It is an amenable number.

480816177 is a deficient number, since it is larger than the sum of its proper divisors (160490703).

480816177 is a wasteful number, since it uses less digits than its factorization.

480816177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54663.

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 480816177 is about 21927.5209953155. The cubic root of 480816177 is about 783.4170581804.

The spelling of 480816177 in words is "four hundred eighty million, eight hundred sixteen thousand, one hundred seventy-seven".