480771168 has 48 divisors (see below), whose sum is σ = 1266160896. Its totient is φ = 159731840.

The previous prime is 480771167. The next prime is 480771191. The reversal of 480771168 is 861177084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×480771168³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480771167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21805 + ... + 37907.

It is an arithmetic number, because the mean of its divisors is an integer number (26378352).

Almost surely, 2^480771168 is an apocalyptic number.

480771168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480771168 is an abundant number, since it is smaller than the sum of its proper divisors (785389728).

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

480771168 is a wasteful number, since it uses less digits than its factorization.

480771168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16427 (or 16419 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 480771168 is about 21926.4946582895. The cubic root of 480771168 is about 783.3926123038.

The spelling of 480771168 in words is "four hundred eighty million, seven hundred seventy-one thousand, one hundred sixty-eight".