480305577 has 8 divisors (see below), whose sum is σ = 640546240. Its totient is φ = 320134320.

The previous prime is 480305533. The next prime is 480305593. The reversal of 480305577 is 775503084.

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

It is not a de Polignac number, because 480305577 - 2¹¹ = 480303529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480304577) 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, 1827 + ... + 31047.

It is an arithmetic number, because the mean of its divisors is an integer number (80068280).

Almost surely, 2^480305577 is an apocalyptic number.

It is an amenable number.

480305577 is a deficient number, since it is larger than the sum of its proper divisors (160240663).

480305577 is a wasteful number, since it uses less digits than its factorization.

480305577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34703.

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 480305577 is about 21915.8749996435. The cubic root of 480305577 is about 783.1396448640.

The spelling of 480305577 in words is "four hundred eighty million, three hundred five thousand, five hundred seventy-seven".