480768427251 has 12 divisors (see below), whose sum is σ = 793649467312. Its totient is φ = 274724815536.

The previous prime is 480768427213. The next prime is 480768427331. The reversal of 480768427251 is 152724867084.

480768427251 is a `hidden beast` number, since 480 + 7 + 6 + 8 + 42 + 72 + 51 = 666.

It is not a de Polignac number, because 480768427251 - 2⁹ = 480768426739 is a prime.

It is a super-3 number, since 3×480768427251³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480768427201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3815622376 + ... + 3815622501.

Almost surely, 2^480768427251 is an apocalyptic number.

480768427251 is a deficient number, since it is larger than the sum of its proper divisors (312881040061).

480768427251 is a wasteful number, since it uses less digits than its factorization.

480768427251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7631244890 (or 7631244887 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 480768427251 in words is "four hundred eighty billion, seven hundred sixty-eight million, four hundred twenty-seven thousand, two hundred fifty-one".