480289257 has 64 divisors (see below), whose sum is σ = 832857600. Its totient is φ = 271257984.

The previous prime is 480289247. The next prime is 480289261. The reversal of 480289257 is 752982084.

It is not a de Polignac number, because 480289257 - 2⁴ = 480289241 is a prime.

It is a super-2 number, since 2×480289257² = 461355540779224098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (480289237) 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 63 ways as a sum of consecutive naturals, for example, 2097219 + ... + 2097447.

It is an arithmetic number, because the mean of its divisors is an integer number (13013400).

Almost surely, 2^480289257 is an apocalyptic number.

It is an amenable number.

480289257 is a deficient number, since it is larger than the sum of its proper divisors (352568343).

480289257 is an equidigital number, since it uses as much as digits as its factorization.

480289257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 480289257 is about 21915.5026636397. The cubic root of 480289257 is about 783.1307748277.

The spelling of 480289257 in words is "four hundred eighty million, two hundred eighty-nine thousand, two hundred fifty-seven".