480966 has 16 divisors (see below), whose sum is σ = 1012800. Its totient is φ = 151848.

The previous prime is 480959. The next prime is 480967. The reversal of 480966 is 669084.

It is a super-3 number, since 3×480966³ = 333783131538206088, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480967) by changing a digit.

480966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1996 + ... + 2223.

It is an arithmetic number, because the mean of its divisors is an integer number (63300).

2⁴⁸⁰⁹⁶⁶ is an apocalyptic number.

480966 is an abundant number, since it is smaller than the sum of its proper divisors (531834).

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

480966 is a wasteful number, since it uses less digits than its factorization.

480966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 480966 is about 693.5171230763. The cubic root of 480966 is about 78.3498421017.

The spelling of 480966 in words is "four hundred eighty thousand, nine hundred sixty-six".