480142016 has 28 divisors (see below), whose sum is σ = 1008830088. Its totient is φ = 225948672.

The previous prime is 480141983. The next prime is 480142051. The reversal of 480142016 is 610241084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219566 + ... + 221741.

It is an arithmetic number, because the mean of its divisors is an integer number (36029646).

Almost surely, 2^480142016 is an apocalyptic number.

It is an amenable number.

480142016 is an abundant number, since it is smaller than the sum of its proper divisors (528688072).

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

480142016 is a wasteful number, since it uses less digits than its factorization.

480142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441336 (or 441326 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 480142016 is about 21912.1431174589. The cubic root of 480142016 is about 783.0507392089.

The spelling of 480142016 in words is "four hundred eighty million, one hundred forty-two thousand, sixteen".