480740769 has 24 divisors (see below), whose sum is σ = 711639552. Its totient is φ = 312586560.

The previous prime is 480740753. The next prime is 480740783. The reversal of 480740769 is 967047084.

It is not a de Polignac number, because 480740769 - 2⁴ = 480740753 is a prime.

It is a super-3 number, since 3×480740769³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (480740719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130584 + ... + 134214.

It is an arithmetic number, because the mean of its divisors is an integer number (29651648).

Almost surely, 2^480740769 is an apocalyptic number.

It is an amenable number.

480740769 is a deficient number, since it is larger than the sum of its proper divisors (230898783).

480740769 is a wasteful number, since it uses less digits than its factorization.

480740769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 480740769 is about 21925.8014448731. The cubic root of 480740769 is about 783.3761007383.

The spelling of 480740769 in words is "four hundred eighty million, seven hundred forty thousand, seven hundred sixty-nine".