480271257 has 48 divisors (see below), whose sum is σ = 751196160. Its totient is φ = 294918624.

The previous prime is 480271241. The next prime is 480271367. The reversal of 480271257 is 752172084.

It is not a de Polignac number, because 480271257 - 2⁴ = 480271241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480271157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702838 + ... + 703520.

It is an arithmetic number, because the mean of its divisors is an integer number (15649920).

Almost surely, 2^480271257 is an apocalyptic number.

It is an amenable number.

480271257 is a deficient number, since it is larger than the sum of its proper divisors (270924903).

480271257 is a wasteful number, since it uses less digits than its factorization.

480271257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 480271257 is about 21915.0919915934. The cubic root of 480271257 is about 783.1209914664.

It can be divided in two parts, 48027 and 1257, that added together give a square (49284 = 222²).

The spelling of 480271257 in words is "four hundred eighty million, two hundred seventy-one thousand, two hundred fifty-seven".