480146768 has 20 divisors (see below), whose sum is σ = 934389600. Its totient is φ = 239013984.

The previous prime is 480146767. The next prime is 480146773. The reversal of 480146768 is 867641084.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480146761) 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, 62468 + ... + 69731.

It is an arithmetic number, because the mean of its divisors is an integer number (46719480).

Almost surely, 2^480146768 is an apocalyptic number.

It is an amenable number.

480146768 is a deficient number, since it is larger than the sum of its proper divisors (454242832).

480146768 is a wasteful number, since it uses less digits than its factorization.

480146768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132434 (or 132428 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 480146768 is about 21912.2515502173. The cubic root of 480146768 is about 783.0533225035.

The spelling of 480146768 in words is "four hundred eighty million, one hundred forty-six thousand, seven hundred sixty-eight".