480945768 has 16 divisors (see below), whose sum is σ = 1202364480. Its totient is φ = 160315248.

The previous prime is 480945767. The next prime is 480945791. The reversal of 480945768 is 867549084.

It is a super-3 number, since 3×480945768³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480945768.

It is not an unprimeable number, because it can be changed into a prime (480945763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10019680 + ... + 10019727.

It is an arithmetic number, because the mean of its divisors is an integer number (75147780).

Almost surely, 2^480945768 is an apocalyptic number.

It is an amenable number.

480945768 is an abundant number, since it is smaller than the sum of its proper divisors (721418712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480945768 is a wasteful number, since it uses less digits than its factorization.

480945768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20039416 (or 20039412 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 480945768 is about 21930.4757814326. The cubic root of 480945768 is about 783.4874348199.

The spelling of 480945768 in words is "four hundred eighty million, nine hundred forty-five thousand, seven hundred sixty-eight".