480370177 has 12 divisors (see below), whose sum is σ = 560601156. Its totient is φ = 410417280.

The previous prime is 480370171. The next prime is 480370201. The reversal of 480370177 is 771073084.

It can be written as a sum of positive squares in 2 ways, for example, as 92910321 + 387459856 = 9639^2 + 19684^2 .

It is not a de Polignac number, because 480370177 - 2²³ = 471981569 is a prime.

It is a super-2 number, since 2×480370177² = 461511013902022658, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480370171) 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 11 ways as a sum of consecutive naturals, for example, 324 + ... + 30997.

It is an arithmetic number, because the mean of its divisors is an integer number (46716763).

Almost surely, 2^480370177 is an apocalyptic number.

It is an amenable number.

480370177 is a deficient number, since it is larger than the sum of its proper divisors (80230979).

480370177 is a wasteful number, since it uses less digits than its factorization.

480370177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31648 (or 31641 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 480370177 is about 21917.3487675859. The cubic root of 480370177 is about 783.1747534529.

The spelling of 480370177 in words is "four hundred eighty million, three hundred seventy thousand, one hundred seventy-seven".